FullCalculator

Combination Calculator

Combinations (nCr)

Calculate the number of combinations of n items taken r at a time

Formula

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

Frequently Asked Questions

What is a combination?
A combination is a selection of items where order does not matter. C(n, r) gives the number of ways to choose r items from a set of n items. For example, C(5, 3) = 10.
What is a binomial coefficient?
The binomial coefficient C(n, r) (also written as 'n choose r') appears in the binomial theorem expansion. It equals n! / (r! x (n-r)!).

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