MathDB

14

Part of 2006 JBMO ShortLists

Problems(1)

Subsets, sums and products

Source: JBMO Shortlist 2006

11/10/2008
Let n≥5 n\ge 5 be a positive integer. Prove that the set {1,2,…,n} \{1,2,\ldots,n\} can be partitioned into two non-zero subsets Sn S_n and Pn P_n such that the sum of elements in Sn S_n is equal to the product of elements in Pn P_n.
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