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My club has 15 members. In how many ways can we choose a president, vice-president, secretary, and treasurer, if no member can hold more than one office?

 Jul 1, 2022
 #1
avatar+124526 
+1

We can choose  4 of 15 members  and permute each set of these in 4! ways

 

P (15 , 4) *4!  =  

 

32760 ways

 

 

cool cool cool

 Jul 1, 2022
 #2
avatar+1113 
+1

P      VP     S     T

15 x 14 x 13 x 12

 

15x14x13x12=32760, as CPHILL says.

 

 

 

 

 

 

-nerdiest.

 Jul 2, 2022

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