Question

How many different ways can a committee of 4 students be selected from a class of 30 ?

Answer 1

657720 different ways

Explanation:

Since the order does not matter, therefore we can determine that we solve it by means of the permutations. The permutation formula is as follows

`_nP_r=(n!)/((n-r)!)`

In this case n is 30 and r is 4, replacing:

`_(30)P_4=(30!)/((30-4)!)=657720`

Therefore there are 657720 different ways to set up the committees.