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TOT 122 1986 Autumn J4 sum of products of reciprocals of {1,2,...,N}

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August 29, 2019
algebraSumreciprocalProduct

Problem Statement

Consider subsets of the set 1,2,...,N1 , 2,..., N. For each such subset we can compute the product of the reciprocals of each member. Find the sum of all such products.