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← AIME I 2026← Problems

AIME I 2026 (Problem 7)

CombinatoricsMedium
Find the number of functions π\pi mapping the set A={1,2,3,4,5,6}A=\{1,2,3,4,5,6\} onto AA such that for every a∈Aa\in A,
π(π(π(π(π(π(a))))))=a.\pi(\pi(\pi(\pi(\pi(\pi(a))))))=a.