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TR-MO-R1 2011 Problem 12

    Bir okuldaki 100100 öğrenciden her biri aynı okuldaki istediği 5050 öğrenciye mesaj yollamıştır. Karşılıklı olarak mesajlaşmış öğrenci çiftlerinin sayısı en az kaç olabilir?

    a) 100100 b) 7575 c) 5050 d) 2525 e) Hiçbiri

    Official text Turkish Mathematical Olympiad, first round 2011 official paper, page 4. Quoted with source.

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