SOLUTION: In how many ways can a committee consisting of 4 faculty members and 5 students be formed if there are 12 faculty members and 15 students eligible to serve on the committee?

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Question 973466: In how many ways can a committee consisting of 4 faculty members and 5 students be formed if there are 12 faculty members and 15 students eligible to serve on the committee?
Found 2 solutions by stanbon, Boreal:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In how many ways can a committee consisting of 4 faculty members and 5 students be formed if there are 12 faculty members and 15 students eligible to serve on the committee?
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select 4 faculty:: 12C4
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select 5 students:: 15C5
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Ans: 12C4 * 15C5 = 1486485 ways
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Cheers,
Stan H.
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Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
These are independent non-ordered events. The faculty members chosen don't affect the students and vice versa. There is no issue with replacement, and the only limitation is the number of people allowed to serve.
12C4*15C5
495*3003=1,486,485 ways