Combinatorial Coefficient Calculator

Instructions: You can use this combinatorial coefficient calculator to compute "n choose k", or \( C_{n,k}\), for two given integers \(n\) and \(k\).

Type the integer \(n\):
Type the integer \(k\):

More about this Combinatorial Coefficient calculator for \(n\) and \(k\):

There are many Math contexts in which the use of combinatorial coefficients is relevant, especially in the calculation of probabilities using distribution probabilities or counting methods. Indeed the combinatorial coefficient \(C_{n,k}\) is used, for example, by the Binomial Distribution.

The formula for \(C_{n,k}\) is:

\[C_{n,k} = \frac{n!}{k! \times (n-k)!}\]

Observe that the combinatorial coefficient refers to the type of counting process in which order does not matter. When order matters for the counting, you should use our permutation calculator instead.

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