SOLUTION: The Computer Science department must select three faculty members to send to represent the department at a conference from the fifteen full-time faculty members. In how many ways c

Question 999128: The Computer Science department must select three faculty members to send to represent the department at a conference from the fifteen full-time faculty members. In how many ways can the selections be made?
Found 3 solutions by Boreal, ikleyn, stanbon:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
It is 15C3
That is 15!/12!3!
=15*14*13/6
=2730/6
=455 ways
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.
= = 5*7*13 ways.

It is very standard test on Combinations.

See the lesson Introduction to Combinations in this site.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The Computer Science department must select three faculty members to send to represent the department at a conference from the fifteen full-time faculty members. In how many ways can the selections be made?
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Order makes no difference::
15C3 = 15!/(12!*3!) = (15*14*13)/(1*2*3) = 455 ways
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Cheers,
Stan H.
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