olymmath

HMMT November 2016 U21

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Zlatan has 2017 socks of various colours. He wants to proudly display one sock of each of the colours, and he counts that there are NN ways to select socks from his collection for display. Given this information, what is the maximum value of NN ?

Dataset text NuminaMath olympiads. Quoted with source.

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3^{671} \cdot 4

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