olymmath

HMMT 2017 U29

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Yang has the sequence of integers 1,2,…,20171,2, \ldots, 2017. He makes 2016 swaps in order, where a swap changes the positions of two integers in the sequence. His goal is to end with 2,3,…,2017,12,3, \ldots, 2017,1. How many different sequences of swaps can Yang do to achieve his goal?

Dataset text NuminaMath olympiads. Quoted with source.

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2017^{2015}

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