Binomial Coefficient Calculator

Binomial coefficient is an integer that appears in the binomial expansion:

$$(a+1)^n = \binom{n}{0} a^0 + \binom{n-1}{1} a^1 + ... + \binom{n}{n} a^n $$

We often say "n choose k" when referring to the binomial coefficient. That is because \( \binom{n}{k}\) is equal to the number of distinct ways \(k\) items can be picked from \(n\) items.

For example, given a group of 15 footballers, there is exactly\( \binom{15}{11} = 1365 \) ways we can form a football team.

Use this step-by-step solver to calculate the binomial coefficient.

Calculator