Combinations Calculator

Calculate C(n,r) - combinations where order does NOT matter. Find how many ways to select r items from n items.

C( , )

What are Combinations?

A combination is a selection of objects where ORDER DOES NOT MATTER. C(n,r) counts how many ways to select r items from n items.

Formula

C(n,r) = n! / (r!(n-r)!)

Example

Selecting 3 people from a group of 5 for a committee: C(5,3) = 10 ways