# How many subsets of four elements can be formed from a set of 100 elements?

##### 1 Answer

Dec 12, 2017

#### Explanation:

If we choose the four elements one at a time, then there are

The number of ways of choosing a subset of

#""^100C_4 = (100!)/(96! 4!) = (100 * 99 * 98 * 97) / (4 * 3 * 2 * 1) = 3921225#