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

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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) About Me  (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) About Me  (Show Source):
You can put this solution on YOUR website!
.
C%5B15%5D%5E3 = %2815%2A14%2A13%29%2F%281%2A2%2A3%29 = 5*7*13 ways.

It is very standard test on Combinations.

See the lesson  Introduction to Combinations  in this site.


Answer by stanbon(75887) About Me  (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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