# to count the number of combinations

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To calculate the number of k elements of part of a set of n elements.
combination(5;3), returns 10

### To count the number of combinations

To calculate the number of k elements of part of a set of n elements.

The calculator used to calculate online the number of combination of a set of k elements from n elements. A combination of a set of k elements among n elements calculation as follows: "n!"/"p!(n-p)!". The sign ! represents the factorial function. Ie the number of combination of a set of k among n elements elements equals the number of permutation divided by p!. This number of combination is the binomial coefficient .

# Calculating combination of a set

The calculator is able to calculate the number of combination of a set of k elements from n elements with the results in exact form : for example, to calculate the number of combinations of a set of 3 elements from the 5 elements, enter combination(5;3), after calculation, the result is returned.

#### Syntax :

combination(n;k), where n and k are integers

#### Examples :

combination(5;3), returns 10