Permutation Combination Calculator
Work out permutations and combinations for choosing r items from n.
Quick answer: enter your details below and click Calculate P and C — your result appears instantly, right here in your browser. Nothing you enter is uploaded or stored.
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How to use
- Enter n, the total number of items.
- Enter r, the number chosen.
- Click Calculate P and C for both answers.
About this tool
Enter n (the total items) and r (the items chosen), and the tool calculates both: permutations, where order matters, and combinations, where it does not. For example, choosing a president and a secretary from 10 people is a permutation, while choosing a 3-person team is a combination.
Frequently asked questions
When do I use combinations?
When order does not matter, such as picking a team where every member has the same role.
Why is C smaller than P?
Because each combination can be ordered in r factorial ways, and combinations count those orderings only once.
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