計算結果
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計算式の説明
階乗 (n!)
n! = n × (n-1) × (n-2) × ... × 2 × 1
例: 5! = 5 × 4 × 3 × 2 × 1 = 120
順列 (nPr)
nPr = n! / (n-r)!
例: 5P3 = 5! / 2! = 60
組み合わせ (nCr)
nCr = n! / (r! × (n-r)!)
例: 5C3 = 5! / (3! × 2!) = 10
重複順列
n^r = n × n × ... × n (r回)
例: 5^3 = 5 × 5 × 5 = 125
重複組み合わせ (nHr)
nHr = (n+r-1)Cr
例: 5H3 = 7C3 = 35