Permutation & Combination Calculator

Calculate permutations and combinations. Permutations consider order, combinations do not.

Calculation Type:

Permutation: Number of ways to arrange r items from n items (order matters)

n (total items):

r (selected items):

About Permutations and Combinations

Permutations (P): The number of ways to arrange r items from n items where order matters. For example, arranging 3 books from 5 books on a shelf.

Combinations (C): The number of ways to choose r items from n items where order doesn't matter. For example, choosing 3 people from 5 people for a committee.

Use permutations when order is important
Use combinations when order is not important
For the same n and r, permutations will always be greater than or equal to combinations