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GAIC Math 2024 Problem 68

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Let A={1,2,⋯ ,6}A=\{1,2,\cdots,6\}, function f:A→Af:A \rightarrow A. Mark p(f)=f(1)⋯f(6)p(f)=f(1)\cdots f(6). Then the number of functions that make p(f)∣36p(f)|36 is _____.

Dataset text MathOdyssey. Open licence.

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580

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