In how many ways can a president and a 2-person committee be chosen from a group of 8 people (where the order in which we choose the 2 people doesn't matter)? (The president cannot be on the committee.)
8 ways to choose a president....then there are only 7 people left to choose 2 people for the committee
7 c 2 = 7! / (2!5!)= 21 ways
8 ways x 21 ways = 168 ways to choose a pres and 2-person committee from 8 people