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Math Help - Pigeonhole theory question

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    Pigeonhole theory question

    Prove or disprove,
    If 15 children together gathered 100 nuts, then 2 or more children gathered the same number of nuts.
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    Quote Originally Posted by hugo84 View Post
    Prove or disprove,
    If 15 children together gathered 100 nuts, then 2 or more children gathered the same number of nuts.
    If each child picked a different number of nuts, the smallest possible number of total nuts is

    0 + 1 + 2 + ... + 14 = (14*15)/2 = 105 > 100
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