Permutation & Combination Calculator

Calculator Tools

nPr and nCr with factorials

FreePrivateInstant
n (total items)
r (items chosen)
Full guide, 4 min readPermutations vs combinations: when order matters, and why a combination lock is misnamedRead the story behind this tool →
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History

All history →

Permutation & Combination Calculator — at a glance

Count the ways to arrange or choose items — in a click.

Input
n = 10
r = 3
Run
Result
C(10,3) = 120
P(10,3) = 720

How to use it — step by step

Total number of items (n) and how many you pick (r).

1

Enter your values

Fill in the boxes. Sensible example values are already filled in for you.

2

Calculate

Press the button. The answer is worked out instantly on your device.

3

Read or copy the result

See the big answer and the extra details, then press Copy to keep them.

Pro tips

Small things that make the result better.

✦Use permutations when order matters (a race ranking).
✦Use combinations when order does not matter (picking a team).
✦Very large answers are shown in scientific form.

Quick facts

nPr & nCrboth shown
Exactbig numbers
Factorialof n and r
Freeno signup

Frequently Asked Questions

Permutation vs combination?+

Permutations count different orders as different results; combinations do not.

What is the largest n?+

You can use n up to 500.

Is my data safe?+

Yes. Everything runs inside your own browser. Your text, files and images are never uploaded to any server.

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