Order matters for permutations and not for combinations, and that single distinction changes the answer completely: choosing a president, secretary and treasurer is not the same as choosing any three committee members. This calculator gives both nPr and nCr from n and r, so the two counting ideas can be compared on the same inputs.
Permutations equal n factorial divided by n minus r factorial, and combinations divide that further by r factorial. Students, lottery analysts and event planners use these counts whenever selections, arrangements or draws need exact numbers. Everything runs in your browser: nothing you type is uploaded, stored or shared, and the tool is completely free with no sign-up required.
Quick Answer: Enter Total items (n), Chosen items (r) and get the permutation and combination counts for n and r instantly, with no sign-up and nothing uploaded.
Free Online Tool
Permutation & Combination Calculator
nPr and nCr values.
Results update when you click Calculate. Nothing you enter leaves your browser.
How to Use the Permutation & Combination Calculator
- Enter the total items (n) in the first field.
- Fill in the remaining fields: Chosen items (r).
- Check the values match what you intended, since a misplaced decimal or a wrong unit changes the answer.
- Click Calculate to see the result instantly in the result box.
- Read the permutation and combination counts for n and r and adjust any input to compare scenarios side by side.
Key Features
- Instant permutation & combination calculator calculation with no waiting
- Private by design: everything runs in your browser
- Clear results showing the key figures together
- Works on desktop and mobile with the same layout
- Free to use, with no sign-up or account needed
Best Practices and Tips
- Permutations equal n factorial divided by n minus r factorial, and combinations divide that further by r factorial.
- Students, lottery analysts and event planners use these counts whenever selections, arrangements or draws need exact numbers.
- Round only the final answer, never the intermediate steps, so small rounding errors do not accumulate.
- Try a second scenario with slightly different inputs: comparing two results teaches more than any single number.
- If a result looks surprising, re-check the inputs first — a swapped value or a percentage entered as a whole number is the usual cause.
Common Mistakes to Avoid
- Mixing units, for example centimetres with metres or monthly with annual rates, which silently breaks the maths.
- Rounding intermediate values before the final step, which can shift the answer more than expected.
- Entering a percentage as a decimal, or a decimal as a percentage, and getting an answer out by a factor of one hundred.
- Trusting a single calculation for a big decision without testing a second, slightly different scenario.
Frequently Asked Questions
How does the Permutation & Combination Calculator work?
It takes the values you enter and applies the standard calculation for this problem. Permutations equal n factorial divided by n minus r factorial, and combinations divide that further by r factorial. The result appears instantly, and changing any input recalculates everything, so you can explore different scenarios without starting over.
Is the Permutation & Combination Calculator free?
Yes, completely free, with no sign-up, no account and no usage limit. You can run as many calculations as you like, on any device, and every feature of the tool is available from the first visit.
Do I need to sign up or install anything?
No. The tool runs entirely in your web browser, so there is nothing to install, no account to create and no software to update. Just open the page, enter your values and click Calculate.
Are my inputs private?
Yes. Every calculation happens locally in your browser, which means the numbers you enter are never sent to a server, stored in a database or shared with anyone. Closing the page removes them from view entirely.
How accurate is the Permutation & Combination Calculator?
It is exact for the inputs and assumptions stated on the page, using the standard formula for this calculation. Results are estimates when the real world adds factors the tool cannot know, such as fees, taxes or individual variation, so treat them as a solid planning figure and check important decisions against official sources.