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HMMT 2009 C4

  • Combinatorics
  • Answer

How many functions f:{1,2,3,4,5}→{1,2,3,4,5}f:\{1,2,3,4,5\} \rightarrow\{1,2,3,4,5\} satisfy f(f(x))=f(x)f(f(x))=f(x) for all x∈{1,2,3,4,5}x \in\{1,2,3,4,5\} ?

Dataset text NuminaMath olympiads. Quoted with source.

Also HMMT 2009 E9.

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