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, let Pi be the product of the elements of Si. Prove or disprove that

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28-11 i=l Pi = (n + 1)! 2 1. 28-11 i=l Pi = (n + 1)! 2 1.

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Let S be the set of all nonempty subsets of 2 3 n for any positive integer n 2 Write the following s... View the full answer