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Permutation & Combination

Math
nPr720
nCr120

About the Permutation & Combination calculator

Use this free Permutation & Combination calculator. Enter n, r and it shows npr, ncr instantly. With the default values, the npr comes to 720.

How the Permutation & Combination calculation works

nPr = n! ÷ (n−r)! when order matters. nCr = n! ÷ (r! × (n−r)!) when it does not.

Tip: Ask whether order matters: a race podium uses permutations, a lottery uses combinations.

Frequently asked questions

What does the Permutation & Combination calculator do?

It takes n, r and instantly calculates npr, ncr.

Is the Permutation & Combination calculator free?

Yes. It is free, needs no signup and runs in your browser, so your numbers are not stored.

Which currency does it use?

Amounts are plain numbers, so use any currency consistently.

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Free to use. Copy and paste this code into your page.