# Combinations

Given a set of **n** elements, combinations are different groups formed by the **k** elements of a subset such that:

The order of the elements does not matter.

The elements are not repeated.

Also, the combinations can be calculated by means of factorials:

The combinations can also be denoted as a combinatorial number: .

#### Examples

1. Calculate C(10,4).

2. A student council committee of three students has to be selected out of a class of 35 students. How many different committees can be formed?

The order of the elements does not matter.

The elements cannot be repeated.

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