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赵鑫 2024-01-21 19:57:14 +08:00
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commit 97b84e91db

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@ -10,4 +10,6 @@
$$ \begin{align} A_{10}^3 &= \underbrace{10\times9\times8}_{3个} = 720 \newline A_n^n &= \underbrace{n\times(n-1)\times(n-2)\times\cdots\times1}_{n个} = n! A_n^n叫全排列n!叫做n的阶乘 \newline A_{n}^{m} &= \underbrace{n\times(n-1)\times(n-2)\times\cdots\times(n-m+1)}_{m个} \newline &= \dfrac{n\times(n-1)\times(n-2)\times\cdots\times(n-m+1)\times(n-m)\times(n-m-1)\times(n-m-2)\times\cdots\times1}{(n-m)\times(n-m-1)\times(n-m-2)\times\cdots\times1} \newline &= \dfrac{n!}{(n-m)!} \end{align}$$
公式1$ A_n^n = n! $
公式1$ \boxed{ A_n^n = n! } $
公式2$ \boxed{ A_n^m = \dfrac{n!}{(n-m)!} } $