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Permutation and combination calculator
nPr and nCr, with and without repetition, exact even for big numbers.
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- No sign-up
- Works on any device
About Permutation and combination calculator
Calculates nPr, where order matters, and nCr, where it does not, with or without repetition. The tool stays exact for large values instead of rounding. Use it for lottery odds, seating plans, passwords and team picks, such as choosing 5 from 52 cards: 2,598,960 hands.
How to use Permutation and combination calculator
- Enter the total number of items n.
- Enter how many you choose, r, and decide whether repetition is allowed.
- Read nPr and nCr with the exact value.
Why use this tool?
- Private: everything happens in your browser. Nothing you enter is uploaded.
- Free, with no sign-up, no watermark and no limit on how often you use it.
- Works on phones, tablets and computers: Android, iPhone, Windows, Mac and Linux. Nothing to install.
- Free to embed on your own website, with a ready-made code to copy.
- Available in 10 languages.
Also known as
Frequently asked questions
What is the difference between permutation and combination?
A permutation counts ordered arrangements, so ABC differs from CBA. A combination counts groups where order is ignored, so they are one group. Permutations are always the larger number.
When does order matter?
Use permutations when order matters, such as a race podium or a PIN. Use combinations when it does not, such as picking a team or lottery numbers.
What does repetition change?
With repetition an item can be picked more than once, like digits in a code. Without it, each item is used at most once, so the count is usually much smaller.
Is Permutation and combination calculator free?
Yes. Permutation and combination calculator on Toolipedia is free to use, with no sign-up and no watermark.
Is it safe to use?
Yes. Everything is worked out in your browser, and nothing you enter is sent to our server.
Does it work on my phone?
Yes. It works in any modern browser on Android and iPhone, as well as on tablets and computers. There's nothing to install.
Do I need an account?
No. Just open the page and use the tool. There's no sign-up and no email needed.
Can I put Permutation and combination calculator on my own website?
Yes. Use the Embed on your site button under the tool to copy a short piece of code and paste it into your page. It is free, needs no account, and the tool keeps working inside your page.