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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?

 Mar 2, 2022
 #1
avatar+122 
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we do 10*9*8*7=5040 so there are 5040 ways to choose

 Mar 2, 2022
 #2
avatar+36417 
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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   

 Mar 2, 2022

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