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MathNet 2010 — Part 07 Question 50

Math Olympiad Vault · MathNet 2010 — Part 07

Question 50

How many functions $f:\{1,2,3,4,5\} \rightarrow \{1,2,3,4,5\}$ have the property that $f(\{1,2,3\})$ and $f(f(\{1,2,3\}))$ are disjoint?