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

 Apr 26, 2014

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 #1
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In how many ways can a committee consisting of faculty members and students be formed if there are faculty members and students eligible to serve on the committee?

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Well.......that's a tough one to answer !!  We'd have to know three things:

1.  What is the composition of the committee??

2.  How many faculty members are there to be chosen from??

3.  How many students are there to be chosen from??

I can give you an abstract aswer. Let's suppose that we have a committe composed of "f" faculty members and "s" students. And we have "F" faculty members to choose from and "S" students to choose from. Then the total ways the committee can be formed is just C(F, f) * C(S,s), where C (n,r) means the total unordered sets that can formed by selecting r things from n things and r ≤ n.

 Apr 26, 2014
 #1
avatar+128566 
+5
Best Answer

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

----------------------------------------------------------------------------------------------------------------------------

Well.......that's a tough one to answer !!  We'd have to know three things:

1.  What is the composition of the committee??

2.  How many faculty members are there to be chosen from??

3.  How many students are there to be chosen from??

I can give you an abstract aswer. Let's suppose that we have a committe composed of "f" faculty members and "s" students. And we have "F" faculty members to choose from and "S" students to choose from. Then the total ways the committee can be formed is just C(F, f) * C(S,s), where C (n,r) means the total unordered sets that can formed by selecting r things from n things and r ≤ n.

CPhill Apr 26, 2014
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95040

 May 16, 2016

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