Question 1062041: In how many ways can a committee consisting of 3 faculty members and 5 students be formed if there are 10 faculty members and 15 students eligible to serve on the committee?
Answer by math_helper(2461)   (Show Source):
You can put this solution on YOUR website! You can choose 3 faculty members out of 10 eligible in C(10,3) (=10!/(7!*3!)) ways.
You can choose 5 student members from 15 eligible in C(15,5) (=15!/(10!*5!) ways.
Since those selections are independent, the total number of committees is just the product of those two numbers.
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Total committees possible = C(10,3) * C(15,5) = 120 * 3003 = 360360.
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