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Subsets without consecutive elements

Source: South African MO 2006 Q5

May 27, 2012
Pascal's Trianglecombinatorics unsolvedcombinatorics

Problem Statement

Find the number of subsets XX of {1,2,…,10}\{1,2,\dots,10\} such that XX contains at least two elements and such that no two elements of XX differ by 11.
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