Binomial Coefficient Calculator

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Binomial Coefficient Calculator

A Binomial Coefficient Calculator is a tool used to compute the binomial coefficient, also known as “n choose k.” It calculates the number of ways to choose k items from a set of n items, disregarding the order.

Formula

The formula for calculating the binomial coefficient is: Binomial Coefficient = n! / (k! * (n – k)!), where “!” denotes the factorial of a number.

Example

For example, if we have n = 5 and k = 3, the binomial coefficient would be: Binomial Coefficient = 5! / (3! * (5 – 3)!) = (5 * 4 * 3!) / (3! * 2!) = 10. Thus, in this case, there are 10 different ways to choose 3 items from a set of 5 items.

The binomial coefficient calculator is commonly used in combinatorial mathematics and probability theory.