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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?

 Jun 16, 2021

Best Answer 

 #1
avatar+2135 
+1

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

 

=^._.^=

 Jun 16, 2021
 #1
avatar+2135 
+1
Best Answer

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

 

=^._.^=

catmg Jun 16, 2021

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