# 2009 UNCO Math Contest II Problems/Problem 10

## Problem

Let . Determine the number of subsets of such that contains at least two elements and such that no two elements of differ by when

(a)

(b)

(c) generalize for any .

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Let . Determine the number of subsets of such that contains at least two elements and such that no two elements of differ by when

(a)

(b)

(c) generalize for any .

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