SOLUTION: A committee consisting of 2 faculty members and 3 students is to be formed. Every committee position has the same duties and voting rights. There are 9 faculty members and 11 stude

Question 1143142: A committee consisting of 2 faculty members and 3 students is to be formed. Every committee position has the same duties and voting rights. There are 9 faculty members and 11 students eligible to serve on the committee. In how many ways can the committee be formed?
Answer by ikleyn(52790) (Show Source): You can put this solution on YOUR website!
.

They select  2 faculty members from the pool of 9 faculty members.

It can be done in   =  = 36 ways.



They select  3 students from the pool of 11 students.

It can be done in   =  = 165 ways. 



These selections are independent - so, by the general counting principle, the final answer is the product


    . = 36*165 = 5940.    ANSWER

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