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Omni-MATH / Zlatan has 2017 socks of various colours. He wants to proudly display one sock…

Problem

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problem

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?
Plain-text mathematical notation (without MathML)
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 N ways to select socks from his collection for display. Given this information, what is the maximum value of N?
Original LaTeX notation
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 $N$ ways to select socks from his collection for display. Given this information, what is the maximum value of $N$?

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