# How many subsets of five elements can be formed from a set of 80 elements?

##### 1 Answer

Feb 25, 2017

#### Explanation:

If we were to pick the

That is:

But the order in which we pick a particular subset does not matter, so we can divide this value by the number of ways of ordering

#""^80C_5 = (80!)/(75!5!) = (80*79*78*77*76)/(5*4*3*2*1) = 24040016#