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From: "Clara Ionescu" <clara@cs.ubbcluj.ro>  | Block address
To: "Paul Rusu" <prusu83@email.ro>, "Lucian SILISTRU" <ce9700@lsp.vs.edu.ro>, "Adrian Cearnau" <cearny@home.ro>, <cosma_marius@lycos.com>, "Cornel Bicutzi" <cornel_bicutzi@yahoo.com>, <calexandrescu@another.com>, <sarburg@adonix.cs.unibuc.ro>, "Vencel Bors" <bvipicur@k.ro>, "Kasler Lorand" <lori@lady.rdsor.ro>, "Cristian Ionita" <cristi@regisco.ro>, "Mugurel Ionut Andreica" <mugurel_ionut@yahoo.com>, <raduv@stud.usv.ro>, <sburaga@odeon.ac.tuiasi.ro>, "Marica Lucian" <www@personal.ro>, "Bogdan Lucaciu" <zamolxes@go.ro>, "Baicoianu Cristian" <baicoianu_c@usa.net>, <andoniu@fenrir.info.uaic.ro>, "Lord Avi" <lord_avi@k.ro>, <sim@lsp.vs.edu.ro>, "Elvis ASAFTEI" <elvis@lsp.vs.edu.ro>, "Sorin Otescu" <otescu0@vega.unitbv.ro>, "Mihai Maerean" <maerean_m@hotmail.com>, "Ovidiu Gergeanu" <ovidiu_boy@hotmail.com>, "fulger aurel mihai" <amfulger@hotmail.com>, "Liviu Paunescu" <lpaunescu@hotmail.com>, "MIHAILA Cornel" <mihaila0@vega.unitbv.ro>, "GAVRILA Andrei" <gavrila0@vega.unitbv.ro>, "Sorin Carp" <sorin_carp@yahoo.com>, "Ciprian Baicu" <ciprib@k.ro>, "Daniel Dumitran" <ddumitra@pcnet.pcnet.ro>, <tothcristian@yahoo.com>, "Laviniu Gavanescu" <laviniug@eltop.ro>, "Ion Alexandru MOREGA" <amorega@dial.kappa.ro>, "Raileanu Andrei" <andrei_raileanu@trinet.ro>, "Radu-Mihai Dondera" <rdondera@yahoo.com>, "RUTER" <office@cppi.eunet.ro>, "Horia C" <horia19@hotmail.com>, "misu totmisu" <arcangelofdeth@yahoo.com>, "Andrei Pana" <andreipana@yahoo.com>, "Cana Marius" <gaiusro@yahoo.com>, <Veve1984@collegeclub.com>, "Raianu Cosmin - Mihai" <raianu_c@usa.net>, "Csog Jozsef" <csjoco@miko.educv.ro>, "Klara Barna" <klarab@cii.educv.ro>, "Raluca Sauciuc" <scully@fx.ro>, "Patcas Csaba" <szami_@freemail.hu>, "Opincaru Cristian" <oppy@fx.ro>, "andrei tataranu" <tataranu@yahoo.com>, "adrian baragan" <adrianbaragan@usa.net>, <filipst@xnet.ro>, "Maximilian Machedon" <macu@home.ro>, "Dan Ghinea" <dannyg@home.ro>, "MIRON ION" <miron_ion@yahoo.com>, "Balica Ciprian" <ciprian_balica@yahoo.com>, <tybba@yahoo.com>, <s.stelis@mailcom.ase.ro>, "mirita cristian" <cristi_mirita@yahoo.com>, <agiurgiu@shock.ldc.ro>, <mpopa@fx.ro>, "Dumitrescu Vlad" <sesv@assist.ro>, "Lalescu Liviu" <Lalescu_Liviu@k.ro>, "ANTON M.I.L." <conrent@buzau.ro>, "Bisa Valentin" <bisa_v@excite.com>, <tornob@yahoo.com>, "Grande" <zed_colony@yahoo.com>, "Andras Csaba" <andrascs@hotmail.com>, <ducu@dwp.net>, <sj58419@scs.ubbcluj.ro>, "Ady" <ady@liis.sorosis.ro>, "jovany moto" <yov@k.ro>, "Sandu Aaa" <sandu.aaa@email.ro>, "Adrian Liviu Sandu" <Ecomancer@k.ro>, "Edison Marius Nica" <edison@k.ro>, <cc28696@rave.scs.ubbcluj.ro>, <luciandavis@yahoo.com>, "DANIEL CRISAN" <danielcrisan@yahoo.com>, <ebola@lme.ro>, "Popa Sorin Mihai" <sorin_death@yahoo.com>, "Ioana Ileana" <marigold1@usa.net>, "Bucur Lucian" <blucian2000@yahoo.com>, <aleks@thekeyboard.com>, "Catalin Melinte" <Skeene1@go.com>, "Bogdanas Denis" <desik2@yahoo.com>, "Andrei David" <andrei@cozia.unet.ro>, <miklor@hotmail.ro>, "The Big Hunter" 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<thavip3r@yahoo.com>, "Anghelache Florin" <florin@ilc.ph.edu.ro>, "Daniel Spighel" <sdan@go.ro>, "Mihnea Scafes" <mih2kmillenium@yahoo.com>, "Vlad Valceanu" <valceanu@arad.ro>, "AndreiH" <hutu.andrei@xnet.ro>, "Liviu Andreicut" <liviu_a@k.ro>, "mariusnr" <mariusnr@yahoo.com>, "Trifan Ionut" <ionut@goldentop100.ro>, <iodra@Quios.com>, <advantis@softhome.com>, "Cracan Arcadie" <arcadie@lcn.is.edu.ro>, "Octavian Costache" <vivi@sunsite.pub.ro>, <dorin@ilc.ph.edu.ro>, "Carmen MANOLE" <carmen@liis.sorosis.ro>, "Mirela Manea" <manea@lalescu.expert.ro>, "Cismaru Nicolae" <cismaru@hotmail.com>, "Emilian Miron" <emimiron@yahoo.com>, "Popovici Dan" <popovici_dan@usa.net>, "Gheorghe Andrei" <georgedr@fx.ro>, <teo@mic.ro>, "Andrei Adler" <aadler@k.ro>, "Gradinescu Victor" <victorgrd@hotmail.com>, "Adrian Bucur" <adrian_bucur@email.ro>, "Daniel Marin" <dan@hasdeu.bz.edu.ro>, "Alexandru Catalin Cosoi" <cat@hasdeu.bz.edu.ro>, "Aurelian Ghita" <aur@hasdeu.bz.edu.ro>, <victorel_jach@hotmail.ro>, "Stefan BUCUR" <b_stefan@k.ro>, <lucian_v_v@excite.com>, <adic@elcom.ro>, "Paul Marinescu" <paulm@bz.softnet.ro>, "Lucian Burja" <lucian_burja@usa.net>, "Poison Click" <poisonc@k.ro>, "Petru Simon Motz" <txavier@k.ro>, "Kosmin SLy" <kosmin_2000@yahoo.com>, <crysti_b@yahoo.com>, "Popa Razvan" <raz@isj.dj.edu.ro>, "First Last" <robinkatana@hotmail.com>, "Vlad Babii" <wlad@mail.dntis.ro>, "Raluca Musaloiu-E." <ralucam@mail.com>, "Razvan Musaloiu-E." <razvanm@mail.com>, "Eduard Cojoc" <eddy_cojoc@hotmail.com>, "Turi Andrei" <diablo@decebal.intelsev.ro>, <mihaita@eurosport.ro>, "Aspru Georgiana" <gigea2001@yahoo.com>, "Micu Radu" <radu_micu@email.ro>, "Ciprian DUDUIALA" <dudu@email.ro>, "Marincas Bogdan" <bmarincas@ler.ubbcluj.ro>, "Santa Bogdan" <bsanta@ler.ubbcluj.ro>, <Vlad_JoJo@personal.ro>, "Lazar Dan" <danel2000ro@yahoo.com>, "Irina Dumitrascu" <dira@pcnet.pcnet.ro>, "Muja Marius" <mariusmuja@yahoo.com>, "Stan Bogdan" <stboro@altavista.com>, <csoroiu@yahoo.com>, "Claudiu Ionesi" <frick@xnet.ro>, "Tiberius P" <tibip@k.ro>, <tudor_blanaru@yahoo.com>, "Vlad Dascalu" <jocuri@softhome.net>, <dkroko@yahoo.com>, "Alexandru Mosoi" <alexandruq@hotmail.com>, "Radu Stefan" <raduanc@rol.ro>, <radi03@yahoo.com>, "Nicolae Bogdan" <nicolae_bogdan@yahoo.com>, "Munteanu Aurel" <munteanu@home.ro>, <raduvro@yahoo.com>, Sārbe_Daniel <sarbe_d@hotmail.com>, "djhfskjdf jcsbfkjsdhgkjfsdd" <neo5109@yahoo.com>, <micandus@yahoo.com>, "Dinu Razvan" <rmdinu@yahoo.com>, "Marc Zsolt" <zsolt@infocib.ase.ro>, "Bogdan Dumitru" <dumi@fx.ro>, "cristi D" <bm_dcris@yahoo.com>, "Andy George" <LordG@k.ro>, "Pantis Mihai Vlad" <mihaip@mail.dntcj.ro>, <catag2000@yahoo.com>, "Liviu Valsan" <liviuvalsan@craiova.pcnet.ro>, "r2cosmin" <r2cosmin@mail.rdstm.ro>, <tavi@tudor.mh.edu.ro>, "Flaviu Pasca" <flaviu83ro@yahoo.com>, "Harangus Mihai" <mharangus@ler.ubbcluj.ro>, "Radu Cocieru" <raducocieru@hotmail.com>, "Rat Cornel" <cornel@matrix.p5net.ro>, "Stoian Radu Vasile" <sr28753@scs.ubbcluj.ro>, "Udrea Silviu" <silviu_udrea@hotmail.com>, "Radu Stefan" <radu124@deltanet.ro>, "Ilian Virgil Emil" <ilianve@pcnet.ro>, "Mihai Bucur" <bukur@pcnet.ro>, "B Stefan" <bstefan2@yahoo.com>, "Roman Mihai" <rroman@easynet.ro>, "Mihai Gojol" <agojol@email.ro>, "Alina Fesnic" <Alina.Fesnic@email.ro>, "Irina Mihut" <irina_mihut@yahoo.com>, <seby@lugoj.ro>, <adi@grozav.unibuc.ro>, "Draghiciu Andrei" <ND2000@k.ro>, "Stefan Poka" <pokastefan@yahoo.com>, <little_dracula@Quios.com>, "Perini Alpar" <perinia@cii.educv.ro>, "dumi" <dumi@cozia.unet.ro>, "calin" <calin@cozia.unet.ro>, "Iancu Nicolae" <Iancu.Nicolae@personal.ro>, "Silviu Julean" <juleans@arad.ro>, <marian.ovidiu@personal.ro>, "clauoct" <clauoct@pro-net.ro>, "Mihai Stroe" <mstroe@pcnet.pcnet.ro>, "Cardos Bogdab" <cardosb@yahoo.com>, "Alexander Susu" <asusu@gecadsoftware.com>, "Dorin Gugonatu" <dga_gda@usa.net>, "Artur Kuczapski" <dadybear82@yahoo.com>, "Cucu Radu" <craduk@hotmail.com>, "Gabriel Erzse" <gerzse@xmail.com>, "G I" <ghineaiulian@yahoo.com>, "Iana Ionel" <iana_ionel@altavista.com>
Subject: Anunt general
Date: Mon, 6 Nov 2000 12:19:48 +0200
Add Addresses

Cele 25 de posibilitati pentru exemplul de la a treia problema din prima runda sunt:
 
1. {1} {2} {3,4,5}
2. {1} {3} {2,4,5}
3. {1} {4} {2,3,5}
4. {1} {5} {2,3,4}
5. {2} {3} {1,4,5}
6. {2} {4} {1,3,5}
7. {2} {5} {1,3,4}
8. {3} {4} {1,2,5}
9. {3} {5} {1,2,4}
10. {4} {5} {1,2,3}
11. {1} {2,3} {4,5}
12. {1} {2,4} {3,5}
13. {1} {2,5} {3,4}
14. {2} {1,3} {4,5}
15. {2} {1,4} {3,5}
16. {2} {1,5} {3,4}
17. {3} {1,2} {4,5}
18. {3} {1,4} {2,5}
19. {3} {1,5} {2,4}
20. {4} {1,2} {3,5}
21. {4} {1,3} {2,5}
22. {4} {1,5} {2,3}
23. {5} {1,2} {3,4}
24. {5} {1,3} {2,4}
25. {5} {1,4} {2,3}

Cele trei multimi reprezinta categoriile de premii! Doua persoane se afla in aceeasi multime daca primesc premii din aceeasi categorie. Nu conteaza care este aceasta categorie! Deci, urmatoarele "solutii" sunt identice:
 
 
1 primeste un premiu din cat. 1
2 primeste un premiu din cat. 1
3 primeste un premiu din cat. 1
4 primeste un premiu din cat. 2
5 primeste un premiu din cat. 3
 
and
 
1 primeste un premiu din cat. 2
2 primeste un premiu din cat. 2
3 primeste un premiu din cat. 2
4 primeste un premiu din cat. 3
5 primeste un premiu din cat. 1
 
Aceasta inseamna ca {1,2,3}{4}{5} este identica cu {4}{1,2,3}{5}; {5}{1,2,3}{4}, {5}{4}{1,2,3}, {1,2,3}{5}{4} si {4}{5}{1,2,3}.
 
Speram ca totul este clar acum.
 
Mihai Scortaru
    APC Manager

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