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TR-MO-R1 2021 Problem 24

    A1,A2,…,AkA_1, A_2, \ldots, A_k kümeleri {1,2,3,4,5,6,7,8}\{1,2,3,4,5,6,7,8\} kümesinin üç elemanlı alt kümeleridir. Bu alt kümelerin herhangi ikisinin kesişimi en fazla bir eleman içeriyorsa, kk en fazla kaçtır?

    a) 5 b) 6 c) 7 d) 8 e) 9

    Official text Turkish Mathematical Olympiad, first round 2021 official paper, page 12. Quoted with source.

    A model read this text from the scan of the paper by OCR, with vision/claude@2.1.318 (claude-opus-5-5). No person has checked it against the paper yet.

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