Online Calculator

Permutation and Combination Calculator

Order matters? nPr. It doesn't? nCr. Both computed exactly even for big n.

Combinations nCr

120

Permutations nPr
720
With repetition
1000 (nʳ) and 220 (multiset)

How the Permutation and Combination Calculator works

The calculation follows the standard method used across the US — no shortcuts, no hidden assumptions. Here is exactly what happens behind the scenes:

Formula

nPr = n!/(n−r)! ; nCr = n!/(r!(n−r)!)

Frequently Asked Questions

How does the Permutation and Combination Calculator work?

Enter your numbers above and results update instantly using standard formulas, computed entirely on your device.

Is the Permutation and Combination Calculator free to use?

Yes — completely free with no signup required, and it works on phones, tablets, and desktops.