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1989 AIME Problems/Problem 13

Revision as of 23:20, 24 February 2007 by Minsoens (talk | contribs)

Problem

Let $S^{}_{}$ be a subset of $\{1,2,3^{}_{},\ldots,1989\}$ such that no two members of $S^{}_{}$ differ by $4^{}_{}$ or $7^{}_{}$. What is the largest number of elements $S^{}_{}$ can have?

Solution

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See also

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