Permutation and Combination Calculator

Use the Permutation and Combination to work through permutation and Combination from the values you enter. Review the notes below the result so you understand what the figure represents.

nPr and nCr
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How it works

nPr = n! / (n-r)!. nCr = n! / [r!(n-r)!].

How to use the Permutation and Combination

Enter the requested values and start with one realistic example. Read the result together with its unit or label, then change one input at a time if you want to compare options.

Review the assumptions on the page and confirm any result that affects money, safety, technical work or another important decision.

Frequently Asked Questions

When do I use each?
Use permutations when order matters and combinations when it does not.
What information should I enter?
Use the input labels as a guide and enter figures from the same situation, time period and units wherever possible.
Can I use the result as an exact answer?
Treat it as an estimate or check unless the page and the rules that apply to you confirm otherwise. Rounding, fees and personal details can change the final result.