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Volleyball teams - Iran NMO 2003 (Second Round) - Problem3

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October 4, 2010
combinatorics proposedcombinatorics

Problem Statement

nn volleyball teams have competed to each other (each 22 teams have competed exactly 11 time.). For every 22 distinct teams like A,BA,B, there exist exactly tt teams which have lost their match with A,BA,B. Prove that n=4t+3n=4t+3. (Notabene that in volleyball, there doesn’t exist tie!)
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