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Omni-MATH / For any finite set S, let f(S) be the sum of the elements of S (if S is empty then f(S)=0). Find the sum over all subsets E of S of (f(E))/(f(S)) for S=1,2,…,1999. · Discussion

Discussing For any finite set S, let f(S) be the sum of the elements of S (if S is empty then f(S)=0). Find the sum over all subsets E of S of (f(E))/(f(S)) for S={1,2,…,1999}. · Omni-MATH

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