Solved: The following problem, devised by Ginger Bolton,

Chapter 6, Problem 6.123

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The following problem, devised by Ginger Bolton, appeared in the January 1989 issue of the College Mathematics Journal (Vol. 20, No. 1, p. 68): Given a positive integer n 2, let S be the set of all nonempty subsets of {2,3,...,n}. For each Si S, letPi be the product of the elements of Si. Prove or disprove that 2n11 i=1 Pi = (n+1)! 2 1.

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