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Combinations Formula

也称为: nCr Formula, Binomial Coefficient

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

它计算什么

Counts the number of ways to choose r items from n, where ORDER DOES NOT MATTER.

变量

象征姓名描述
nTotal ItemsTotal number of items
rItems ChosenNumber of items selected

工作示例

1C(10,3) = 10! / (3! × 7!)
2= (10×9×8) / (3×2×1) = 720/6 = 120
结果: 120

尝试计算器

相关公式

#combinatorics#probability#counting

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