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It is A set of 100 integers between 1 and 1000000. Prove that there are (at least) two subsets of A that have the same number of elements and the same value of the sum of their elements.

I need some help. I don't have idea.

Maria
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    Well, just stick to subsets of order $50$. How many are there? What's the least possible sum? What's the greatest possible sum? – lulu Jun 08 '19 at 20:36

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