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About the Permutation and Combination Calculator
This calculator computes permutations (nPr) and combinations (nCr) from two inputs: the total number of items, n, and the number chosen, r. It returns the exact count of ordered arrangements or unordered groups. Results appear instantly after you enter both values.
The calculator applies the standard permutation method: nPr equals n factorial divided by the factorial of n minus r. For combinations it uses nCr, which equals n factorial divided by r factorial times the factorial of n minus r. Choose permutations when order matters, such as ranking race finishers, and combinations when it does not, such as selecting a team. If n or r gets large, the counts rise quickly, so check that the result matches the scale of your problem.
- Enter the total number of items in the n field.
- Enter how many items you select in the r field.
- Press calculate to see both the nPr and nCr results.