Enter a total count n and a chosen count r to compute both the number of permutations, written nPr, and the number of combinations, written nCr. Permutations count arrangements where order matters, like ranking finishers in a race, while combinations count selections where order does not matter, like dealing a hand of cards. These ideas sit at the heart of probability, statistics, and combinatorics, and getting them by hand means juggling large factorials. This calculator uses exact BigInt arithmetic so the answers stay precise even when the numbers are huge, and it labels each result clearly so you never mix them up. Just type n and r, with r no larger than n, and both values appear instantly. Everything runs locally in your browser, so nothing you enter is ever sent to a server.
nPr counts ordered arrangements while nCr counts unordered selections, so order matters for permutations but not for combinations.
Permutations use n! divided by n minus r factorial, and combinations divide that further by r factorial.
The tool uses big-integer math, so large factorials and results stay exact without rounding.
Enter a total count n and a chosen count r to compute both the number of permutations, written nPr, and the number of combinations, written nCr. Permutations count arrangements where order matters, like ranking finishers in a race, while combinations count selections where order does not matter, like dealing a hand of cards.
Yes. Permutation and Combination Calculator is completely free, with no sign-up and no usage limits.
Yes. Permutation and Combination Calculator runs in any modern web browser. There is nothing to download or install.
Yes. Permutation and Combination Calculator runs entirely on your device in your browser, so nothing you enter is uploaded to a server.