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Permutations Formula

也称为: nPr Formula, Arrangement Formula

P(n, r) = \frac{n!}{(n-r)!}
P(n,r) = n! / (n-r)!

它计算什么

Counts the number of ways to arrange r items from a set of n, where ORDER MATTERS.

变量

象征姓名描述
nTotal ItemsTotal number of items to choose from
rItems ChosenNumber of items being arranged

工作示例

1P(5,3) = 5! / (5-3)! = 5! / 2!
2= 120 / 2 = 60
结果: 60

常见错误

Permutations = order matters. Combinations = order doesn't matter.

尝试计算器

相关公式

#combinatorics#probability#counting

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