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AT-OEMO-FED1 2007 Problem 3

    Let M(n)={−1,−2,…,−n}M(n )=\{-1,-2,\ldots,-n\} . For every non-empty subset of M(n)M(n ) we consider the product of its elements. How big is the sum over all these products?

    Dataset text AI-MO AoPS. Quoted with source.

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