Question

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

Answer 1

ANSWER:

657720 different ways

STEP-BY-STEP 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

$_nP_r=\frac{n!}{(n-r)!}$

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

$_{30}P_4=\frac{30!}{(30-4)!}=657720$

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