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Binomial Coefficient Calculator

Binomial Coefficient Calculator




Binomial coefficient

Binomial coefficient is a mathematical term that represents the number of possible combinations or ways to choose k objects from a set of n distinct objects.
It is denoted by the symbol "n choose k" or "C(n, k)" and can be calculated using the following formula:

C(n, k) = n! / (k! * (n - k)!)
where "!" denotes the factorial function. The factorial of a non-negative integer n is the product of all positive integers up to n, and is denoted by "n!".

5! = 5 x 4 x 3 x 2 x 1 = 120.

The binomial coefficient has various applications in mathematics, including probability theory, combinatorics, and algebraic geometry.

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