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$\binom{n}{1}$ 是 n!/(k!(n-k)!), 参考: https://en.wikipedia.org/wiki/Binomial_coefficient
应该改成P(n,n) = n!
\newcommand is not supported by KaTeX/KaTeX#250
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承#55, KaTex不支持\newcommand语法，故用$P(n,n)$取代。