Question: Let A {1, 2, 3, ..., 25} where |A| = 9. For any subset B of A let sB denote the sum of the

Let A ⊂ {1, 2, 3, ..., 25} where |A| = 9. For any subset B of A let sB denote the sum of the elements in B. Prove that there are distinct subsets C, D of A such that |C| = |D| =5 and sc = sD.

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