In a group of ten girls and eight boys on the prom committee two of each must be chosen for the decoration committee. One of the decoration committee members will then be chosen as the leader of the committee. In how many ways can this committee be chosen?
+20 Out of the 18 people, 2 of them will be on the decoration committee.
18 choose 2 = 18 * 17 / 2 = 9 * 17 = 153
Then out of the 2 people chosen, on will be the leader.
2 choose 1 = 2/1 = 2
153 * 2 = 306
There are 306 ways the committee can be choosen.
