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
[tex]_nP_r=\frac{n!}{(n-r)!}[/tex]In this case n is 30 and r is 4, replacing:
[tex]_{30}P_4=\frac{30!}{(30-4)!}=657720[/tex]Therefore there are 657720 different ways to set up the committees.
