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

 Mar 23, 2020
 #1
avatar+1970 
+2

We know that the position of the vice president must be chosen by one of two already chosen.

 

For president, we have 15 possible opted, for the second position, vice president -

For secretary, we only have 14 options, since one was chosen for president, for the position vice president

For treasurer, we will have 13 options, and finally, 2 possible options for vice president, either the treasurer or the secretary,

 

The number of ways in which the committee can be chosen will be---

 

15*14*13*2=5460

 Mar 23, 2020
 #2
avatar+12 
+2

Thank you!

JackWang778  Mar 23, 2020
 #3
avatar+1970 
+1

Anytime laugh

CalTheGreat  Mar 23, 2020

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