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Suppose we select 51 elements from the set {1, 2, 3..., 100}. Prove that there are two integers chosen so that one of them divides

Suppose we select 51 elements from the set {1, 2, 3..., 100}.

Prove that there are two integers chosen so that one of them

divides evenly into the other. Clue: ( Think about factoring, focusing on powers of 2).

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