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Our club has  members, and wishes to pick a president, secretary, and treasurer. In how many ways can we choose the officers, if individual members are allowed to hold 2 but not all 3 offices?

 

I'm not exactly sure how to do this. Any help would be greatly appreciated!

 

- AYSAT

 Feb 17, 2021
 #1
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Hello. You seem to be missing some information!

 

I got this question before, too. So I will assume that you have the same one:

 

Our club has 25 members, and wishes to pick a president, secretary, and treasurer. In how many ways can we choose the officers, if individual members are allowed to hold 2 but not all 3 offices?

 Feb 17, 2021
 #2
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Since this is an AoPS question, I'll give you a start-up but not the whole solution.

 

Here, we would use permutations. However, what will be different from the regular question, is one person can hold two positions.

 Feb 17, 2021
 #3
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Sorry, I do not understand. Could you keep explain? Sorry if I am just being dumb.

Guest Feb 17, 2021

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