Our club has 10 members, and wishes to pick a president, secretary, treasurer, morale officer, and dog catcher. In how many ways can we choose the officers, if individual members can only hold at most one office?
+36916 10 choices for first position
9 choices for second position
8 choices for third
7 for 4th
and 6 choices left for the final position
10 * 9 * 8 * 7 * 6 = 30240 ways
