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TR-MO-R1 2014 Problem 12

    21 öğrenciden oluşan ve herhangi üç öğrencisinin en az ikisi arkadaş olan her sınıfta en az kk arkadaşı olan bir öğrenci bulunuyorsa, kk nin alabileceği en büyük değer nedir?

    a) 88 b) 99 c) 1010 d) 1111 e) 1212

    Official text Turkish Mathematical Olympiad, first round 2014 official paper, page 4. Quoted with source.

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