Permutation & Combination
Calculate permutations (nPr) and combinations (nCr) with step-by-step factorial formulas
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Permutation & Combination
Calculate permutations (nPr) and combinations (nCr) with step-by-step factorial formulas
🔒All processing happens in your browser. No data is uploaded.
Input Values
Permutation (nPr)
P(n, r) = n! / (n - r)!P(10, 3) =720
1P(10, 3) = 10! / (10 - 3)!
2= 10! / 7!
3= 3,628,800 / 5,040
4= 720
Combination (nCr)
C(n, r) = n! / (r! * (n - r)!)C(10, 3) =120
1C(10, 3) = 10! / (3! x (10 - 3)!)
2= 10! / (3! x 7!)
3= 3,628,800 / (6 x 5,040)
4= 120
Factorial Reference
10! =3,628,800
3! =6
(10 - 3)! = 7! =5,040