Combination & Permutation Calculator
Use this combination & permutation calculator to count combinations or permutations from a set of values. Enter the total items and the number selected, plus whether order matters and review the number of possible arrangements or selections.
Combinations (nCr)
—
Permutations (nPr) —
n! —
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How it works
nCr = n! ÷ (r!(n−r)!); nPr = n! ÷ (n−r)!How to use the Combination & Permutation Calculator
Start by entering the total items and the number selected, plus whether order matters. Keep the units consistent and check that each value belongs to the same question.
The result gives the number of possible arrangements or selections. Use combinations when order does not matter and permutations when it does. Use it as a guide and check any instructions, rules or professional advice that apply.
Frequently Asked Questions
What does this combination & permutation calculator calculate?
It gives the number of possible arrangements or selections. Use combinations when order does not matter and permutations when it does.
What information should I enter?
Enter the total items and the number selected, plus whether order matters. Use the same units throughout so the result is easier to understand.
What is the difference between them?
A permutation treats different orders as different results. A combination does not.