TR-MO-R1 2015 Problem 24
Bir sınıftaki 23 öğrenci üç gruba, birbirleriyle arkadaş olan öğrenciler aynı grupta olmayacak şekilde tek türlü dağıtılabiliyorsa, sınıftaki arkadaş ikilisi sayısı en az kaç olabilir?
a) 41 b) 43 c) 46 d) 48 e) 50
Official text Turkish Mathematical Olympiad, first round 2015 official paper, page 7. Quoted with source.
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