home

Combinations

A combination of a set of distinct object is an unordered arrangement of these objects.

For a set of \(n\) items, thre is only one possible combination.

k-combinations

To choose \(k\) elements from a wider group on \(n\) an k-combination may be used.

For two integers \(n, k\) where \(0 \leq k \leq n\) possible combinations are: \[ C(n,k) = \frac{n!}{r!(n-k)!} \]