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Counting & ProbabilitySuperchallengeCounting & Probability

Counting & Probability · Superchallenge problem

How many functions f:{1,2,3,4,5}→{1,2,3,4,5}f:\{1,2,3,4,5\}\to\{1,2,3,4,5\} satisfy f(f(x))=f(x)f(f(x))=f(x) for every xx?