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Binomial Coefficient (n choose k) Calculator

C(n, k) = n! / (k! · (n − k)!).

Compute the binomial coefficient "n choose k" using factorials. Useful for combinations, Pascal's triangle, and binomial-distribution probability terms.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

C(n, k) = n! / (k! · (n − k)!)

In depth

Compute the binomial coefficient "n choose k" using factorials. Useful for combinations, Pascal's triangle, and binomial-distribution probability terms.