Enter the values of n and k from the form C(n, K). The calculator will display the binomial coefficient of n and k.
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Binomial Coefficient Formula
The following formula is used to calculate a binomial coefficient of numbers.
C(n,k)=n!/(k!(n−k)!)
- Where C(n,k) is the binomial coefficient
- n is an integer
- k is another integer.
To calculate the binomial coefficient, divide n factorial, by the product of k factorial times n minus k factorial.
n (Integer): This is one of the input variables. In the context of the binomial coefficient, ‘n’ usually represents the total number of items or options available.
k (Integer): This is another input variable. In the context of the binomial coefficient, ‘k’ typically represents the number of items to be chosen or selected from ‘n’.
Binomial Coefficient Definition
A binomial coefficient is the total number of combinations that can be made from any set of integers.
Binomial Coefficient Example
How to calculate a binomial coefficient?
- First, determine the first integer.
Determine the value of one of the integers.
- Next, determine the second integer.
Determine the value of another integer.
- Finally, calculate the binomial coefficient.
Using the formula above, calculate the binomial coefficient.
FAQ
A binomial coefficient is a term used in math to describe the total number of combinations of options from a given set of integers. So for example, if you have 10 integers and you wanted to choose every combination of 4 of those integers. The total number of combinations would be equal to the binomial coefficient.