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2013 AIME II Problems/Problem 11

Revision as of 17:50, 4 April 2013 by Yrushi (talk | contribs) (Problem 11)
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Let $A = \{1, 2, 3, 4, 5, 6, 7\}$, and let $N$ be the number of functions $f$ from set $A$ to set $A$ such that $f(f(x))$ is a constant function. Find the remainder when $N$ is divided by $1000$.

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