Binomial Coefficient Calculator

Calculate combinations and Pascal's triangle values

Result

C(n,r)
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About Binomial Coefficients

The binomial coefficient C(n,r), also written as nCr or \(\binom{n}{r}\), represents the number of ways to choose r items from a set of n items, where the order doesn't matter.

For example, C(5,2) = 10 because there are 10 different ways to choose 2 items from a set of 5 items.

The formula is: \[\binom{n}{r} = \frac{n!}{r!(n-r)!}\]

Note: For large values of n, the result might be too large to be displayed accurately.