Combination & Permutation Calculator

Count selections and arrangements. Combinations ignore order; permutations count every ordering.

How to use the combination & permutation calculator

Choose combinations or permutations.
Enter n and r (whole numbers, r ≤ n).

Examples

10C3

Answer: 120

10P3

Answer: 720

Formulas

Combinations and Permutations

(r n) = \frac{n !}{r ! ( n - r )!}, P (n, r) = \frac{n !}{( n - r )!}

Frequently asked questions