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
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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(52787) (Show Source):
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
