# Combinations of N Elements by M Calculator

## This calculator can calculate the number of combinations of n elements and gives a detailed solution.

Combinatorics. Combinations. Theory.

The number of combinations in combinatorics is calculated by the formula

Where n is the number of elements in the set, m is the number of objects in combination. For a combination, the order of the elements in the combination does not matter.

For example, there is a set of three colors {

Step by step solution:

Result:

Combination 1:

Combination 2:

Combination 3:

The number of combinations in combinatorics is calculated by the formula

Where n is the number of elements in the set, m is the number of objects in combination. For a combination, the order of the elements in the combination does not matter.

For example, there is a set of three colors {

**purple**,**red**,**blue**} How many combinations are there if the number of colors in each combination is m = 2?Step by step solution:

Result:

Combination 1:

**purple**,**red**Combination 2:

**purple**,**blue**Combination 3:

**red**,**blue**