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?
President = 10 options
Secretary = 9 options (can't be the person who was chosen for president)
Treasurer = 8 options (can't be president or secretary)
Morale officer = 7 options (can't be president, treasurer, or secretary)
Dog catcher = 6 options (can't be president secretary, treasurer, or morale officer)
10*9*8*7*6
=^._.^=
President = 10 options
Secretary = 9 options (can't be the person who was chosen for president)
Treasurer = 8 options (can't be president or secretary)
Morale officer = 7 options (can't be president, treasurer, or secretary)
Dog catcher = 6 options (can't be president secretary, treasurer, or morale officer)
10*9*8*7*6
=^._.^=