181:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000 Pensamiento aleatorio y sistema de datos:@0.557411:0.043661:0.926911:0.043661:0.926911:0.024916:0.557411:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ponemos :@0.073089:0.140658:0.145680:0.140658:0.145680:0.124945:0.073089:0.124945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A B:@0.145558:0.140658:0.180146:0.140658:0.180146:0.124251:0.145558:0.124251:0.000000:0.000000:0.000000 = ={:@0.155376:0.141424:0.202421:0.141424:0.202421:0.122967:0.155376:0.122967:0.000000:0.000000:0.000000:0.000000 1, 2, 3, 4, 5, 6 .:@0.202325:0.140658:0.300616:0.140658:0.300616:0.124945:0.202325:0.124945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 }:@0.291102:0.141424:0.297510:0.141424:0.297510:0.122967:0.291102:0.122967:0.000000 Luego, :@0.073084:0.171279:0.125972:0.171279:0.125972:0.155566:0.073084:0.155566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A B:@0.125858:0.171279:0.160457:0.171280:0.160457:0.154874:0.125858:0.154872:0.000000:0.000000:0.000000 × ={:@0.135687:0.172046:0.182732:0.172046:0.182732:0.153590:0.135687:0.153590:0.000000:0.000000:0.000000:0.000000 (:@0.182636:0.171437:0.187736:0.171437:0.187736:0.155010:0.182636:0.155010:0.000000 1,1 , 1,2 , 1,3 , 1,4 , 1,5 , 1,6 ,:@0.187651:0.171280:0.406947:0.171280:0.406947:0.155567:0.187651:0.155567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ) (:@0.208578:0.171437:0.225767:0.171437:0.225767:0.155010:0.208578:0.155010:0.000000:0.000000:0.000000 ) (:@0.246608:0.171437:0.263796:0.171437:0.263796:0.155010:0.246608:0.155010:0.000000:0.000000:0.000000 ) (:@0.284639:0.171437:0.301825:0.171437:0.301825:0.155010:0.284639:0.155010:0.000000:0.000000:0.000000 ) (:@0.322668:0.171437:0.339856:0.171437:0.339856:0.155010:0.322668:0.155010:0.000000:0.000000:0.000000 ) (:@0.360698:0.171437:0.377886:0.171437:0.377886:0.155010:0.360698:0.155010:0.000000:0.000000:0.000000 ):@0.398729:0.171437:0.403828:0.171437:0.403828:0.155010:0.398729:0.155010:0.000000 ⋅⋅⋅:@0.069937:0.184144:0.069937:0.198484:0.094435:0.198484:0.094435:0.184144:0.000000:0.000000:0.000000 :@0.094354:0.202285:0.189409:0.202285:0.189409:0.186573:0.094354:0.186573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ⋅⋅⋅:@0.186016:0.184144:0.186016:0.198484:0.210514:0.198484:0.210514:0.184144:0.000000:0.000000:0.000000 :@0.210433:0.202285:0.230294:0.202285:0.230294:0.186573:0.210433:0.186573:0.000000:0.000000:0.000000:0.000000:0.000000 ⋅⋅⋅:@0.227034:0.184144:0.227034:0.198484:0.251532:0.198484:0.251532:0.184144:0.000000:0.000000:0.000000 :@0.251451:0.202285:0.271312:0.202285:0.271312:0.186573:0.251451:0.186573:0.000000:0.000000:0.000000:0.000000:0.000000 ⋅⋅⋅:@0.268051:0.184144:0.268051:0.198484:0.292548:0.198484:0.292548:0.184144:0.000000:0.000000:0.000000 :@0.292469:0.202285:0.312330:0.202285:0.312330:0.186573:0.292469:0.186573:0.000000:0.000000:0.000000:0.000000:0.000000 ⋅⋅⋅:@0.309069:0.184144:0.309069:0.198484:0.333566:0.198484:0.333566:0.184144:0.000000:0.000000:0.000000 :@0.333485:0.202285:0.353346:0.202285:0.353346:0.186573:0.333485:0.186573:0.000000:0.000000:0.000000:0.000000:0.000000 ⋅⋅⋅:@0.350087:0.184144:0.350087:0.198484:0.374584:0.198484:0.374584:0.184144:0.000000:0.000000:0.000000 :@0.374503:0.202285:0.394365:0.202285:0.394365:0.186573:0.374503:0.186573:0.000000:0.000000:0.000000:0.000000:0.000000 ⋅⋅⋅:@0.391105:0.184144:0.391105:0.198484:0.415602:0.198484:0.415602:0.184144:0.000000:0.000000:0.000000 (:@0.073089:0.233064:0.078188:0.233064:0.078188:0.216637:0.073089:0.216637:0.000000 6,1 , 6,2 , 6,3 , 6,4 , 6,5 , 6,6 .:@0.078104:0.232906:0.303710:0.232906:0.303710:0.217194:0.078104:0.217194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ) (:@0.099031:0.233064:0.116218:0.233064:0.116218:0.216637:0.099031:0.216637:0.000000:0.000000:0.000000 ) (:@0.137061:0.233064:0.154248:0.233064:0.154248:0.216637:0.137061:0.216637:0.000000:0.000000:0.000000 ) (:@0.175091:0.233064:0.192279:0.233064:0.192279:0.216637:0.175091:0.216637:0.000000:0.000000:0.000000 ) (:@0.213120:0.233064:0.230308:0.233064:0.230308:0.216637:0.213120:0.216637:0.000000:0.000000:0.000000 ) (:@0.251151:0.233064:0.268339:0.233064:0.268339:0.216637:0.251151:0.216637:0.000000:0.000000:0.000000 ):@0.289180:0.233064:0.294280:0.233064:0.294280:0.216637:0.289180:0.216637:0.000000 }:@0.294203:0.233673:0.300611:0.233673:0.300611:0.215216:0.294203:0.215216:0.000000 Por el primer principio de conteo, se tienen 36 resultados.:@0.073086:0.262764:0.489429:0.262764:0.489429:0.247052:0.073086:0.247052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2. Sea :@0.073089:0.293393:0.133775:0.293393:0.133775:0.277680:0.073089:0.277680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 C:@0.135227:0.293393:0.145130:0.293393:0.145130:0.276987:0.135227:0.276987:0.000000 ={:@0.145276:0.294160:0.167926:0.294160:0.167926:0.275703:0.145276:0.275703:0.000000:0.000000 (:@0.168138:0.293551:0.173237:0.293551:0.173237:0.277124:0.168138:0.277124:0.000000 a b:@0.173419:0.293393:0.200956:0.293393:0.200956:0.276987:0.173419:0.276987:0.000000:0.000000:0.000000 , :@0.182825:0.293393:0.190243:0.293393:0.190243:0.277680:0.182825:0.277680:0.000000:0.000000 ):@0.201097:0.293551:0.206196:0.293551:0.206196:0.277124:0.201097:0.277124:0.000000 ∈ ×:@0.206389:0.294160:0.260725:0.294160:0.260725:0.275703:0.206389:0.275703:0.000000:0.000000:0.000000:0.000000 :@0.229174:0.293393:0.233206:0.293393:0.233206:0.277680:0.229174:0.277680:0.000000 A B a b:@0.234660:0.293393:0.319880:0.293393:0.319880:0.276987:0.234660:0.276987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 | :@0.269918:0.293393:0.283521:0.293393:0.283521:0.277680:0.269918:0.277680:0.000000:0.000000:0.000000 + = }:@0.294381:0.294160:0.351833:0.294160:0.351833:0.275703:0.294381:0.275703:0.000000:0.000000:0.000000:0.000000:0.000000 3 . ¿Cuántos elementos tiene este conjunto? Los :@0.336266:0.293393:0.710506:0.293393:0.710506:0.277680:0.336266:0.277680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 posibles resultados de son 1 y 2. Cuando :@0.103214:0.310798:0.407301:0.310798:0.407301:0.295085:0.103214:0.295085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.265124:0.310798:0.274383:0.310798:0.274383:0.294392:0.265124:0.294392:0.000000 a:@0.406731:0.310798:0.415990:0.310798:0.415990:0.294392:0.406731:0.294392:0.000000 =:@0.415844:0.311558:0.431874:0.311558:0.431874:0.293101:0.415844:0.293101:0.000000 1,:@0.431678:0.310791:0.443698:0.310791:0.443698:0.295079:0.431678:0.295079:0.000000:0.000000 b:@0.443532:0.310791:0.455626:0.310791:0.455626:0.294385:0.443532:0.294385:0.000000:0.000000 =:@0.455487:0.311558:0.471517:0.311558:0.471517:0.293101:0.455487:0.293101:0.000000 2, y cuando :@0.471320:0.310791:0.557043:0.310791:0.557043:0.295079:0.471320:0.295079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.556472:0.310791:0.565731:0.310791:0.565731:0.294385:0.556472:0.294385:0.000000 =:@0.565589:0.311558:0.581619:0.311558:0.581619:0.293101:0.565589:0.293101:0.000000 2, :@0.581421:0.310791:0.597306:0.310791:0.597306:0.295079:0.581421:0.295079:0.000000:0.000000:0.000000 b:@0.596717:0.310791:0.605976:0.310791:0.605976:0.294385:0.596717:0.294385:0.000000 =:@0.605844:0.311558:0.621874:0.311558:0.621874:0.293101:0.605844:0.293101:0.000000 1. Entonces, :@0.621677:0.310791:0.710367:0.310791:0.710367:0.295079:0.621677:0.295079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 C:@0.103219:0.328196:0.113122:0.328196:0.113122:0.311790:0.103219:0.311790:0.000000 ={:@0.113047:0.328956:0.135389:0.328956:0.135389:0.310499:0.113047:0.310499:0.000000:0.000000 (:@0.135293:0.328347:0.140392:0.328347:0.140392:0.311920:0.135293:0.311920:0.000000 1, 2 , 2, 1 , o sea, tiene 2 elementos.:@0.140308:0.328190:0.417903:0.328190:0.417903:0.312477:0.140308:0.312477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ) (:@0.165186:0.328347:0.182372:0.328347:0.182372:0.311920:0.165186:0.311920:0.000000:0.000000:0.000000 ):@0.207166:0.328347:0.212266:0.328347:0.212266:0.311920:0.207166:0.311920:0.000000 }:@0.212189:0.328956:0.218597:0.328956:0.218597:0.310499:0.212189:0.310499:0.000000 C:@0.270218:0.328190:0.280121:0.328190:0.280121:0.311784:0.270218:0.311784:0.000000 3. Sea :@0.073089:0.358811:0.133011:0.358811:0.133011:0.343098:0.073089:0.343098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 C:@0.132908:0.358811:0.142811:0.358811:0.142811:0.342404:0.132908:0.342404:0.000000 ={:@0.142754:0.359577:0.165096:0.359577:0.165096:0.341120:0.142754:0.341120:0.000000:0.000000 (:@0.165000:0.358968:0.170100:0.358968:0.170100:0.342541:0.165000:0.342541:0.000000 a b:@0.170015:0.358811:0.195528:0.358811:0.195528:0.342404:0.170015:0.342404:0.000000:0.000000:0.000000 , :@0.179200:0.358811:0.186361:0.358811:0.186361:0.343098:0.179200:0.343098:0.000000:0.000000 ):@0.195472:0.358968:0.200572:0.358968:0.200572:0.342541:0.195472:0.342541:0.000000 ∈ ×:@0.200495:0.359577:0.250936:0.359577:0.250936:0.341120:0.200495:0.341120:0.000000:0.000000:0.000000:0.000000 :@0.221137:0.358811:0.225168:0.358811:0.225168:0.343098:0.221137:0.343098:0.000000 A B a b:@0.225095:0.358811:0.305717:0.358811:0.305717:0.342404:0.225095:0.342404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 | :@0.259602:0.358811:0.271419:0.358811:0.271419:0.343098:0.259602:0.343098:0.000000:0.000000:0.000000 + = }:@0.280524:0.359577:0.336895:0.359577:0.336895:0.341120:0.280524:0.341120:0.000000:0.000000:0.000000:0.000000:0.000000 7 . ¿Cuáles son estos elementos? Tenemos: :@0.321586:0.358811:0.635150:0.358811:0.635150:0.343098:0.321586:0.343098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.690924:0.358811:0.694955:0.358811:0.694955:0.343098:0.690924:0.343098:0.000000 C:@0.261575:0.376215:0.271478:0.376215:0.271478:0.359809:0.261575:0.359809:0.000000 ={:@0.271407:0.376975:0.293750:0.376975:0.293750:0.358519:0.271407:0.358519:0.000000:0.000000 (:@0.293653:0.376366:0.298753:0.376366:0.298753:0.359940:0.293653:0.359940:0.000000 1, 6 , 2, 5 , 3, 4 , 4, 3 , 5, 2 , 6, 1 .:@0.298669:0.376209:0.547980:0.376209:0.547980:0.360496:0.298669:0.360496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ) (:@0.323547:0.376366:0.340733:0.376366:0.340733:0.359940:0.323547:0.359940:0.000000:0.000000:0.000000 ) (:@0.365527:0.376366:0.382715:0.376366:0.382715:0.359940:0.365527:0.359940:0.000000:0.000000:0.000000 ) (:@0.407507:0.376366:0.424696:0.376366:0.424696:0.359940:0.407507:0.359940:0.000000:0.000000:0.000000 ) (:@0.449488:0.376366:0.466676:0.376366:0.466676:0.359940:0.449488:0.359940:0.000000:0.000000:0.000000 ) (:@0.491468:0.376366:0.508656:0.376366:0.508656:0.359940:0.491468:0.359940:0.000000:0.000000:0.000000 ):@0.533450:0.376366:0.538549:0.376366:0.538549:0.359940:0.533450:0.359940:0.000000 }:@0.538472:0.376975:0.544881:0.376975:0.544881:0.358519:0.538472:0.358519:0.000000 Se tiene 6 elementos.:@0.101549:0.406067:0.260768:0.406067:0.260768:0.390354:0.101549:0.390354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4. ¿Cuántos pares ordenados tienen un 2 o su suma es 6?:@0.073089:0.435938:0.499864:0.435938:0.499864:0.420225:0.073089:0.420225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sean M:@0.101542:0.466559:0.155302:0.466559:0.155302:0.450846:0.101542:0.450846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ={:@0.155202:0.467327:0.177545:0.467327:0.177545:0.448870:0.155202:0.448870:0.000000:0.000000 (:@0.177448:0.466718:0.182548:0.466718:0.182548:0.450291:0.177448:0.450291:0.000000 a b:@0.182464:0.466560:0.207976:0.466560:0.207976:0.450154:0.182464:0.450154:0.000000:0.000000:0.000000 , :@0.191649:0.466560:0.198809:0.466560:0.198809:0.450847:0.191649:0.450847:0.000000:0.000000 ):@0.207921:0.466718:0.213020:0.466718:0.213020:0.450291:0.207921:0.450291:0.000000 ∈ ×:@0.212943:0.467327:0.263384:0.467327:0.263384:0.448870:0.212943:0.448870:0.000000:0.000000:0.000000:0.000000 :@0.233586:0.466560:0.237617:0.466560:0.237617:0.450847:0.233586:0.450847:0.000000 A B a:@0.237543:0.466560:0.293034:0.466560:0.293034:0.450154:0.237543:0.450154:0.000000:0.000000:0.000000:0.000000:0.000000 | :@0.272050:0.466560:0.283867:0.466560:0.283867:0.450847:0.272050:0.450847:0.000000:0.000000:0.000000 =:@0.292972:0.467327:0.309003:0.467327:0.309003:0.448870:0.292972:0.448870:0.000000 2, o :@0.308906:0.466560:0.338652:0.466560:0.338652:0.450847:0.308906:0.450847:0.000000:0.000000:0.000000:0.000000:0.000000 b:@0.338542:0.466560:0.347801:0.466560:0.347801:0.450154:0.338542:0.450154:0.000000 = }:@0.347737:0.467327:0.378982:0.467327:0.378982:0.448870:0.347737:0.448870:0.000000:0.000000:0.000000 2 , :@0.363671:0.466560:0.390004:0.466560:0.390004:0.450847:0.363671:0.450847:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.434541:0.466560:0.438572:0.466560:0.438572:0.450847:0.434541:0.450847:0.000000 N:@0.101554:0.483965:0.112800:0.483965:0.112800:0.467559:0.101554:0.467559:0.000000 ={:@0.112730:0.484725:0.135072:0.484725:0.135072:0.466268:0.112730:0.466268:0.000000:0.000000 (:@0.134976:0.484116:0.140076:0.484116:0.140076:0.467689:0.134976:0.467689:0.000000 c d:@0.139991:0.483958:0.163902:0.483958:0.163902:0.467552:0.139991:0.467552:0.000000:0.000000:0.000000 , :@0.147575:0.483958:0.154736:0.483958:0.154736:0.468246:0.147575:0.468246:0.000000:0.000000 ):@0.163849:0.484116:0.168948:0.484116:0.168948:0.467689:0.163849:0.467689:0.000000 ∈ ×:@0.168871:0.484725:0.219311:0.484725:0.219311:0.466268:0.168871:0.466268:0.000000:0.000000:0.000000:0.000000 :@0.189512:0.483958:0.193543:0.483958:0.193543:0.468246:0.189512:0.468246:0.000000 A B c d:@0.193469:0.483958:0.272492:0.483958:0.272492:0.467552:0.193469:0.467552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 | :@0.227976:0.483958:0.239794:0.483958:0.239794:0.468246:0.227976:0.468246:0.000000:0.000000:0.000000 + = }:@0.247299:0.484725:0.303669:0.484725:0.303669:0.466268:0.247299:0.466268:0.000000:0.000000:0.000000:0.000000:0.000000 6 . Se tiene:@0.288359:0.483958:0.368985:0.483958:0.368985:0.468246:0.288359:0.468246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 M:@0.101554:0.514579:0.115433:0.514579:0.115433:0.498173:0.101554:0.498173:0.000000 ={:@0.115602:0.515346:0.138291:0.515346:0.138291:0.496889:0.115602:0.496889:0.000000:0.000000 (:@0.138541:0.514737:0.143640:0.514737:0.143640:0.498310:0.138541:0.498310:0.000000 2, 1 , 2, 2 , 2, 3 , 2, 4 , 2, 5 , 2, 6 , 1, 2 , 2, 2 , 3, 2 , 4, 2 , 5, 2 , 6, 2 . :@0.143864:0.514579:0.710372:0.514579:0.710372:0.498867:0.143864:0.498867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ) (:@0.171364:0.514737:0.190897:0.514737:0.190897:0.498310:0.171364:0.498310:0.000000:0.000000:0.000000 ) (:@0.218619:0.514737:0.238151:0.514737:0.238151:0.498310:0.218619:0.498310:0.000000:0.000000:0.000000 ) (:@0.265872:0.514737:0.285404:0.514737:0.285404:0.498310:0.265872:0.498310:0.000000:0.000000:0.000000 ) (:@0.313127:0.514737:0.332659:0.514737:0.332659:0.498310:0.313127:0.498310:0.000000:0.000000:0.000000 ) (:@0.360380:0.514737:0.379912:0.514737:0.379912:0.498310:0.360380:0.498310:0.000000:0.000000:0.000000 ) (:@0.407634:0.514737:0.427167:0.514737:0.427167:0.498310:0.407634:0.498310:0.000000:0.000000:0.000000 ) (:@0.454888:0.514737:0.474420:0.514737:0.474420:0.498310:0.454888:0.498310:0.000000:0.000000:0.000000 ) (:@0.502142:0.514737:0.521675:0.514737:0.521675:0.498310:0.502142:0.498310:0.000000:0.000000:0.000000 ) (:@0.549395:0.514737:0.568928:0.514737:0.568928:0.498310:0.549395:0.498310:0.000000:0.000000:0.000000 ) (:@0.596650:0.514737:0.616183:0.514737:0.616183:0.498310:0.596650:0.498310:0.000000:0.000000:0.000000 ) (:@0.643903:0.514737:0.663436:0.514737:0.663436:0.498310:0.643903:0.498310:0.000000:0.000000:0.000000 ):@0.691158:0.514737:0.696258:0.514737:0.696258:0.498310:0.691158:0.498310:0.000000 }:@0.696469:0.515346:0.702878:0.515346:0.702878:0.496889:0.696469:0.496889:0.000000 N:@0.101552:0.531984:0.112799:0.531984:0.112799:0.515578:0.101552:0.515578:0.000000 ={:@0.112730:0.532744:0.135072:0.532744:0.135072:0.514288:0.112730:0.514288:0.000000:0.000000 (:@0.134976:0.532135:0.140076:0.532135:0.140076:0.515708:0.134976:0.515708:0.000000 1, 5 , 2, 4 , 3, 3 , 4, 2 , 5, 1 .:@0.139991:0.531978:0.347321:0.531978:0.347321:0.516265:0.139991:0.516265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ) (:@0.164868:0.532135:0.182056:0.532135:0.182056:0.515708:0.164868:0.515708:0.000000:0.000000:0.000000 ) (:@0.206850:0.532135:0.224036:0.532135:0.224036:0.515708:0.206850:0.515708:0.000000:0.000000:0.000000 ) (:@0.248830:0.532135:0.266018:0.532135:0.266018:0.515708:0.248830:0.515708:0.000000:0.000000:0.000000 ) (:@0.290810:0.532135:0.307999:0.532135:0.307999:0.515708:0.290810:0.515708:0.000000:0.000000:0.000000 ):@0.332791:0.532135:0.337890:0.532135:0.337890:0.515708:0.332791:0.515708:0.000000 }:@0.337813:0.532744:0.344222:0.532744:0.344222:0.514288:0.337813:0.514288:0.000000 Luego, tiene 12 elementos, mientras que tiene 5 elementos, además :@0.101547:0.561836:0.710385:0.561836:0.710385:0.546123:0.101547:0.546123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 M:@0.161960:0.561836:0.175839:0.561836:0.175839:0.545430:0.161960:0.545430:0.000000 N:@0.467244:0.561836:0.478491:0.561836:0.478491:0.545430:0.467244:0.545430:0.000000 M :@0.101565:0.579240:0.118739:0.579240:0.118739:0.562834:0.101565:0.562834:0.000000:0.000000 ∩ = {:@0.119048:0.580007:0.179279:0.580007:0.179279:0.561550:0.119048:0.561550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 N:@0.140333:0.579240:0.151580:0.579240:0.151580:0.562834:0.140333:0.562834:0.000000 (:@0.179260:0.579398:0.184360:0.579398:0.184360:0.562971:0.179260:0.562971:0.000000 2,4 , 4,2 , por lo que los conjuntos y no satisfacen las condiciones :@0.184324:0.579240:0.710310:0.579240:0.710310:0.563528:0.184324:0.563528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ) (:@0.205446:0.579398:0.223236:0.579398:0.223236:0.562971:0.205446:0.562971:0.000000:0.000000:0.000000 ):@0.244340:0.579398:0.249440:0.579398:0.249440:0.562971:0.244340:0.562971:0.000000 }:@0.249421:0.580007:0.255829:0.580007:0.255829:0.561550:0.249421:0.561550:0.000000 M N:@0.447213:0.579240:0.489237:0.579240:0.489237:0.562834:0.447213:0.562834:0.000000:0.000000:0.000000 del segundo principio de conteo. Resulta, entonces,:@0.101562:0.595882:0.476531:0.595882:0.476531:0.580170:0.101562:0.580170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n M:@0.101562:0.626503:0.132135:0.626503:0.132135:0.610097:0.101562:0.610097:0.000000:0.000000:0.000000 (:@0.112086:0.626661:0.117185:0.626661:0.117185:0.610234:0.112086:0.610234:0.000000 :@0.133166:0.626503:0.159347:0.626503:0.159347:0.610791:0.133166:0.610791:0.000000:0.000000:0.000000 ∪:@0.138228:0.627270:0.154258:0.627270:0.154258:0.608813:0.138228:0.608813:0.000000 N:@0.160378:0.626503:0.171625:0.626503:0.171625:0.610097:0.160378:0.610097:0.000000 ):@0.172658:0.626661:0.177757:0.626661:0.177757:0.610234:0.172658:0.610234:0.000000 =:@0.178835:0.627270:0.194865:0.627270:0.194865:0.608813:0.178835:0.608813:0.000000 n M:@0.195916:0.626503:0.226500:0.626503:0.226500:0.610097:0.195916:0.610097:0.000000:0.000000:0.000000 ( ):@0.206452:0.626661:0.232639:0.626661:0.232639:0.610234:0.206452:0.610234:0.000000:0.000000:0.000000 +:@0.233717:0.627270:0.249747:0.627270:0.249747:0.608813:0.233717:0.608813:0.000000 n N n M:@0.250798:0.626503:0.327225:0.626503:0.327225:0.610097:0.250798:0.610097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ):@0.261334:0.626661:0.284889:0.626661:0.284889:0.610234:0.261334:0.610234:0.000000:0.000000:0.000000 –:@0.285967:0.627270:0.295589:0.627270:0.295589:0.608813:0.285967:0.608813:0.000000 (:@0.307176:0.626661:0.312276:0.626661:0.312276:0.610234:0.307176:0.610234:0.000000 :@0.328256:0.626503:0.354438:0.626503:0.354438:0.610791:0.328256:0.610791:0.000000:0.000000:0.000000 ∩:@0.333318:0.627270:0.349348:0.627270:0.349348:0.608813:0.333318:0.608813:0.000000 N:@0.355468:0.626503:0.366715:0.626503:0.366715:0.610097:0.355468:0.610097:0.000000 ):@0.367746:0.626661:0.372846:0.626661:0.372846:0.610234:0.367746:0.610234:0.000000 =:@0.373923:0.627270:0.389953:0.627270:0.389953:0.608813:0.373923:0.608813:0.000000 12 5 2 15.:@0.391004:0.626503:0.499119:0.626503:0.499119:0.610791:0.391004:0.610791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 + – =:@0.411018:0.627270:0.474830:0.627270:0.474830:0.608813:0.411018:0.608813:0.000000:0.000000:0.000000:0.000000:0.000000 5. ¿Cuántos pares ordenados tienen un 1 o su suma es 9? :@0.073089:0.656368:0.503824:0.656368:0.503824:0.640655:0.073089:0.640655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.555025:0.656368:0.559056:0.656368:0.559056:0.640655:0.555025:0.640655:0.000000 Tal como lo hicimos en el literal 4, escribimos:@0.103219:0.673010:0.428710:0.673010:0.428710:0.657297:0.103219:0.657297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 M:@0.101562:0.703631:0.115883:0.703631:0.115883:0.687918:0.101562:0.687918:0.000000 ={:@0.115790:0.704398:0.138132:0.704398:0.138132:0.685942:0.115790:0.685942:0.000000:0.000000 (:@0.138036:0.703789:0.143135:0.703789:0.143135:0.687363:0.138036:0.687363:0.000000 a b:@0.143052:0.703632:0.168564:0.703632:0.168564:0.687226:0.143052:0.687226:0.000000:0.000000:0.000000 , :@0.152237:0.703632:0.159398:0.703632:0.159398:0.687919:0.152237:0.687919:0.000000:0.000000 ):@0.168509:0.703789:0.173609:0.703789:0.173609:0.687363:0.168509:0.687363:0.000000 ∈ ×:@0.173532:0.704398:0.223973:0.704398:0.223973:0.685942:0.173532:0.685942:0.000000:0.000000:0.000000:0.000000 :@0.194174:0.703632:0.198205:0.703632:0.198205:0.687919:0.194174:0.687919:0.000000 A B a:@0.198131:0.703632:0.253623:0.703632:0.253623:0.687226:0.198131:0.687226:0.000000:0.000000:0.000000:0.000000:0.000000 | :@0.232638:0.703632:0.244456:0.703632:0.244456:0.687919:0.232638:0.687919:0.000000:0.000000:0.000000 =:@0.253561:0.704398:0.269591:0.704398:0.269591:0.685942:0.253561:0.685942:0.000000 1, o :@0.269495:0.703632:0.299241:0.703632:0.299241:0.687919:0.269495:0.687919:0.000000:0.000000:0.000000:0.000000:0.000000 b:@0.299130:0.703632:0.308389:0.703632:0.308389:0.687226:0.299130:0.687226:0.000000 = }:@0.308326:0.704398:0.339569:0.704398:0.339569:0.685942:0.308326:0.685942:0.000000:0.000000:0.000000 1 .:@0.324260:0.703632:0.342675:0.703632:0.342675:0.687919:0.324260:0.687919:0.000000:0.000000:0.000000 M:@0.101540:0.734253:0.115419:0.734253:0.115419:0.717847:0.101540:0.717847:0.000000 ={:@0.115800:0.735019:0.138777:0.735019:0.138777:0.716563:0.115800:0.716563:0.000000:0.000000 (:@0.139316:0.734410:0.144415:0.734410:0.144415:0.717984:0.139316:0.717984:0.000000 1, 1 , 1, 2 , 1, 3 , 1, 4 , 1, 5 , 1, 6 , 2, 1 , 3, 1 , 4, 1 , 5, 1 , 6, 1 . :@0.144888:0.734253:0.710372:0.734253:0.710372:0.718540:0.144888:0.718540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ) (:@0.174553:0.734410:0.196022:0.734410:0.196022:0.717984:0.174553:0.717984:0.000000:0.000000:0.000000 ) (:@0.226161:0.734410:0.247629:0.734410:0.247629:0.717984:0.226161:0.717984:0.000000:0.000000:0.000000 ) (:@0.277766:0.734410:0.299235:0.734410:0.299235:0.717984:0.277766:0.717984:0.000000:0.000000:0.000000 ) (:@0.329374:0.734410:0.350842:0.734410:0.350842:0.717984:0.329374:0.717984:0.000000:0.000000:0.000000 ) (:@0.380979:0.734410:0.402448:0.734410:0.402448:0.717984:0.380979:0.717984:0.000000:0.000000:0.000000 ) (:@0.432586:0.734410:0.454055:0.734410:0.454055:0.717984:0.432586:0.717984:0.000000:0.000000:0.000000 ) (:@0.484192:0.734410:0.505661:0.734410:0.505661:0.717984:0.484192:0.717984:0.000000:0.000000:0.000000 ) (:@0.535799:0.734410:0.557268:0.734410:0.557268:0.717984:0.535799:0.717984:0.000000:0.000000:0.000000 ) (:@0.587406:0.734410:0.608875:0.734410:0.608875:0.717984:0.587406:0.717984:0.000000:0.000000:0.000000 ) (:@0.639012:0.734410:0.660481:0.734410:0.660481:0.717984:0.639012:0.717984:0.000000:0.000000:0.000000 ):@0.690619:0.734410:0.695719:0.734410:0.695719:0.717984:0.690619:0.717984:0.000000 }:@0.696200:0.735019:0.702608:0.735019:0.702608:0.716563:0.696200:0.716563:0.000000 N:@0.101552:0.751657:0.112799:0.751657:0.112799:0.735251:0.101552:0.735251:0.000000 ={:@0.112730:0.752418:0.135072:0.752418:0.135072:0.733961:0.112730:0.733961:0.000000:0.000000 (:@0.134976:0.751809:0.140076:0.751809:0.140076:0.735382:0.134976:0.735382:0.000000 1, 5 , 2, 4 , 3, 3 , 4, 2 , 5, 1 .:@0.139991:0.751651:0.347321:0.751651:0.347321:0.735938:0.139991:0.735938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ) (:@0.164868:0.751809:0.182056:0.751809:0.182056:0.735382:0.164868:0.735382:0.000000:0.000000:0.000000 ) (:@0.206850:0.751809:0.224036:0.751809:0.224036:0.735382:0.206850:0.735382:0.000000:0.000000:0.000000 ) (:@0.248830:0.751809:0.266018:0.751809:0.266018:0.735382:0.248830:0.735382:0.000000:0.000000:0.000000 ) (:@0.290810:0.751809:0.307999:0.751809:0.307999:0.735382:0.290810:0.735382:0.000000:0.000000:0.000000 ):@0.332791:0.751809:0.337890:0.751809:0.337890:0.735382:0.332791:0.735382:0.000000 }:@0.337813:0.752418:0.344222:0.752418:0.344222:0.733961:0.337813:0.733961:0.000000 N:@0.101547:0.782272:0.112794:0.782272:0.112794:0.765866:0.101547:0.765866:0.000000 ={:@0.112730:0.783039:0.135072:0.783039:0.135072:0.764582:0.112730:0.764582:0.000000:0.000000 (:@0.134976:0.782430:0.140076:0.782430:0.140076:0.766003:0.134976:0.766003:0.000000 c d:@0.139991:0.782272:0.163902:0.782272:0.163902:0.765866:0.139991:0.765866:0.000000:0.000000:0.000000 , :@0.147575:0.782272:0.154736:0.782272:0.154736:0.766559:0.147575:0.766559:0.000000:0.000000 ):@0.163849:0.782430:0.168948:0.782430:0.168948:0.766003:0.163849:0.766003:0.000000 ∈ ×:@0.168871:0.783039:0.219311:0.783039:0.219311:0.764582:0.168871:0.764582:0.000000:0.000000:0.000000:0.000000 :@0.189512:0.782272:0.193543:0.782272:0.193543:0.766559:0.189512:0.766559:0.000000 A B c d:@0.193469:0.782272:0.272492:0.782272:0.272492:0.765866:0.193469:0.765866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 | :@0.227976:0.782272:0.239794:0.782272:0.239794:0.766559:0.227976:0.766559:0.000000:0.000000:0.000000 + = }={:@0.247299:0.783039:0.325915:0.783039:0.325915:0.764582:0.247299:0.764582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 9:@0.288359:0.782272:0.297342:0.782272:0.297342:0.766559:0.288359:0.766559:0.000000 (:@0.325819:0.782430:0.330919:0.782430:0.330919:0.766003:0.325819:0.766003:0.000000 3, 6 , 4, 5 , 5, 4 , 6, 3 .:@0.330834:0.782272:0.496183:0.782272:0.496183:0.766559:0.330834:0.766559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ) (:@0.355711:0.782430:0.372899:0.782430:0.372899:0.766003:0.355711:0.766003:0.000000:0.000000:0.000000 ) (:@0.397693:0.782430:0.414879:0.782430:0.414879:0.766003:0.397693:0.766003:0.000000:0.000000:0.000000 ) (:@0.439673:0.782430:0.456860:0.782430:0.456860:0.766003:0.439673:0.766003:0.000000:0.000000:0.000000 ):@0.481653:0.782430:0.486753:0.782430:0.486753:0.766003:0.481653:0.766003:0.000000 }:@0.486676:0.783039:0.493084:0.783039:0.493084:0.764582:0.486676:0.764582:0.000000 Claramente, = por lo que se aplica el segundo principio de conteo. Tenemos: :@0.101550:0.812130:0.710492:0.812137:0.710492:0.796424:0.101550:0.796418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 M:@0.191083:0.812130:0.204962:0.812130:0.204962:0.795724:0.191083:0.795724:0.000000 ∩:@0.208276:0.812713:0.223609:0.812713:0.223609:0.795059:0.208276:0.795059:0.000000 N:@0.226850:0.812137:0.238097:0.812137:0.238097:0.795731:0.226850:0.795731:0.000000 ∅:@0.248773:0.812719:0.264106:0.812719:0.264106:0.795065:0.248773:0.795065:0.000000 n M:@0.101570:0.829541:0.129876:0.829535:0.129876:0.813129:0.101570:0.813135:0.000000:0.000000:0.000000 (:@0.110981:0.829693:0.116081:0.829693:0.116081:0.813266:0.110981:0.813266:0.000000 :@0.129802:0.829535:0.153032:0.829535:0.153032:0.813822:0.129802:0.813822:0.000000:0.000000:0.000000 ∪:@0.133760:0.830117:0.149093:0.830117:0.149093:0.812463:0.133760:0.812463:0.000000 N:@0.152958:0.829535:0.164205:0.829535:0.164205:0.813129:0.152958:0.813129:0.000000 ):@0.164132:0.829693:0.169231:0.829693:0.169231:0.813266:0.164132:0.813266:0.000000 =:@0.169154:0.830301:0.185185:0.830301:0.185185:0.811845:0.169154:0.811845:0.000000 n M:@0.185082:0.829535:0.213408:0.829535:0.213408:0.813129:0.185082:0.813129:0.000000:0.000000:0.000000 ( ):@0.194514:0.829693:0.218442:0.829693:0.218442:0.813266:0.194514:0.813266:0.000000:0.000000:0.000000 +:@0.218365:0.830301:0.234395:0.830301:0.234395:0.811845:0.218365:0.811845:0.000000 n N:@0.234292:0.829535:0.259985:0.829535:0.259985:0.813129:0.234292:0.813129:0.000000:0.000000:0.000000 ( ):@0.243723:0.829693:0.265019:0.829693:0.265019:0.813266:0.243723:0.813266:0.000000:0.000000:0.000000 =:@0.264942:0.830301:0.280973:0.830301:0.280973:0.811845:0.264942:0.811845:0.000000 11+4 15.:@0.280869:0.829535:0.355420:0.829535:0.355420:0.813822:0.280869:0.813822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.318465:0.830301:0.334495:0.830301:0.334495:0.811845:0.318465:0.811845:0.000000 2.3 Permutaciones y combinaciones:@0.073089:0.860406:0.345134:0.860406:0.345134:0.843736:0.073089:0.843736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Considera una colección o conjunto de objetos a los que los designamos con ,…, .:@0.073089:0.890264:0.706341:0.890274:0.706341:0.874561:0.073089:0.874551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.359746:0.890264:0.369244:0.890264:0.369244:0.873858:0.359746:0.873858:0.000000 a:@0.645905:0.890264:0.655164:0.890264:0.655164:0.873858:0.645905:0.873858:0.000000 1:@0.655110:0.893446:0.660347:0.893446:0.660347:0.884286:0.655110:0.884286:0.000000 a:@0.688446:0.890274:0.697704:0.890274:0.697704:0.873868:0.688446:0.873868:0.000000 n:@0.697639:0.893446:0.703177:0.893446:0.703177:0.883881:0.697639:0.883881:0.000000 Una combinación de objetos 1 :@0.073094:0.920895:0.342607:0.920895:0.342607:0.905182:0.073094:0.905182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 r:@0.228783:0.920895:0.234066:0.920895:0.234066:0.904489:0.228783:0.904489:0.000000 (:@0.296003:0.921052:0.301103:0.921052:0.301103:0.904625:0.296003:0.904625:0.000000 ≤ < :@0.313677:0.921661:0.363087:0.921661:0.363087:0.903204:0.313677:0.903204:0.000000:0.000000:0.000000:0.000000 r:@0.333366:0.920895:0.338649:0.920895:0.338649:0.904488:0.333366:0.904488:0.000000 n:@0.362759:0.920895:0.372257:0.920895:0.372257:0.904488:0.362759:0.904488:0.000000 ):@0.372192:0.921052:0.377292:0.921052:0.377292:0.904625:0.372192:0.904625:0.000000 de estos objetos es cualquier selección de :@0.377207:0.920895:0.710379:0.920895:0.710379:0.905182:0.377207:0.905182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.444891:0.920895:0.454389:0.920895:0.454389:0.904488:0.444891:0.904488:0.000000 r:@0.701065:0.920895:0.706347:0.920895:0.706347:0.904488:0.701065:0.904488:0.000000 objetos, sin tomar en cuenta el orden en que se tomen.:@0.073101:0.937536:0.474324:0.937536:0.474324:0.921824:0.073101:0.921824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 El principio básico o :@0.742665:0.185241:0.864935:0.185241:0.864935:0.172385:0.742665:0.172385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 fundamental de conteo :@0.742665:0.198857:0.886968:0.198857:0.886968:0.186001:0.742665:0.186001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 se puede utilizar para :@0.742665:0.212473:0.872547:0.212473:0.872547:0.199618:0.742665:0.199618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 determinar los posibles :@0.742665:0.226089:0.884312:0.226089:0.884312:0.213234:0.742665:0.213234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 resultados cuando hay dos :@0.742665:0.239705:0.905201:0.239705:0.905201:0.226850:0.742665:0.226850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 o más características que :@0.742665:0.253321:0.894530:0.253321:0.894530:0.240466:0.742665:0.240466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 pueden variar.:@0.742665:0.266938:0.826916:0.266938:0.826916:0.254082:0.742665:0.254082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 La permutación hace :@0.742665:0.284128:0.871925:0.284128:0.871925:0.271272:0.742665:0.271272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 referencia a las diferentes :@0.742665:0.297744:0.895210:0.297744:0.895210:0.284888:0.742665:0.284888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 agrupaciones de elementos :@0.742665:0.311360:0.911677:0.311360:0.911677:0.298504:0.742665:0.298504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de forma que::@0.742665:0.324976:0.825562:0.324976:0.825562:0.312120:0.742665:0.312120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 • entran todos los :@0.742665:0.342165:0.856483:0.342165:0.856483:0.329309:0.742665:0.329309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 elementos.:@0.742663:0.355781:0.808270:0.355781:0.808270:0.342925:0.742663:0.342925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 • sí importa el orden.:@0.742665:0.372971:0.871510:0.372971:0.871510:0.360115:0.742665:0.360115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 • no se repiten los :@0.742665:0.390160:0.857924:0.390160:0.857924:0.377304:0.742665:0.377304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 elementos.:@0.742663:0.403776:0.808270:0.403776:0.808270:0.390920:0.742663:0.390920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Lee este ejemplo.:@0.742663:0.420967:0.846203:0.420967:0.846203:0.408111:0.742663:0.408111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿De cuántas formas distintas:@0.742663:0.438157:0.911526:0.438157:0.911526:0.425301:0.742663:0.425301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 pueden sentarse ocho :@0.742663:0.455347:0.879262:0.455347:0.879262:0.442491:0.742663:0.442491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 personas en una fila de sillas?:@0.742663:0.468963:0.915806:0.468963:0.915806:0.456107:0.742663:0.456107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Deben entrar todos los :@0.742663:0.486153:0.882382:0.486153:0.882382:0.473298:0.742663:0.473298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 elementos.:@0.742663:0.499769:0.808270:0.499769:0.808270:0.486914:0.742663:0.486914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Tienen que sentarse las 8:@0.742663:0.516960:0.891538:0.516960:0.891538:0.504104:0.742663:0.504104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 personas.:@0.742663:0.534150:0.798848:0.534150:0.798848:0.521294:0.742663:0.521294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sí importa el orden.:@0.742663:0.551340:0.858647:0.551340:0.858647:0.538484:0.742663:0.538484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 No se repiten los elementos.:@0.742663:0.568530:0.910717:0.568530:0.910717:0.555675:0.742663:0.555675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Una persona no se puede:@0.742663:0.585721:0.895587:0.585721:0.895587:0.572865:0.742663:0.572865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 repetir.:@0.742663:0.602911:0.783616:0.602911:0.783616:0.590055:0.742663:0.590055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 P:@0.783808:0.620101:0.790977:0.620101:0.790977:0.606678:0.783808:0.606678:0.000000 8 8! 40 320:@0.791821:0.620101:0.879608:0.620101:0.879608:0.607245:0.791821:0.607245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.800014:0.620578:0.812559:0.620578:0.812559:0.606133:0.800014:0.606133:0.000000 =:@0.825526:0.620101:0.834502:0.620101:0.834502:0.606451:0.825526:0.606451:0.000000 Competencia :@0.742665:0.145303:0.851225:0.145303:0.851225:0.128356:0.742665:0.128356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 matemática :@0.742665:0.161945:0.840141:0.161945:0.840141:0.144998:0.742665:0.144998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000