Question: Given 10 numbers a1, a2, . . . , a10, from the set S natural numbers S = {1, 2, 3, . . . ,

Given 10 numbers a1, a2, . . . , a10, from the set S natural numbers S = {1, 2, 3, . . . , 100} . Prove that there exist two (or more) subsets of the 10 numbers whose elements sum to the same value.

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