## About Binomial Coefficient Calculator (Formula)

A binomial coefficient calculator is a tool used to calculate the number of ways a given number of items can be chosen from a larger set, without regard to the order in which they are chosen. The binomial coefficient, also called binomial number, is represented by the symbol “C(n, k)” where “n” is the total number of items in the set and “k” is the number of items to be chosen. The formula for calculating binomial coefficient is:

C(n, k) = n! / (k! (n-k)!)

Where:

- n! represents n factorial (n multiplied by every positive integer less than it)
- k! represents k factorial (k multiplied by every positive integer less than it)
- (n-k)! represents (n-k) factorial ( (n-k) multiplied by every positive integer less than it)

Binomial coefficient calculators are commonly used in combinatorics and probability to quickly and easily calculate the number of ways a given number of items can be chosen from a larger set, without regard to the order in which they are chosen.

They can be found in spreadsheet software or as online calculators and can be used to calculate the binomial coefficient for a given n and k.

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