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A certain university

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A certain university

by ektamatta » Tue May 27, 2008 8:00 pm
A certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?

A. 42
B. 70
C. 140
D. 165
E. 315

i got the answer E..what u guys think?
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by VP_Jim » Tue May 27, 2008 8:45 pm
I agree, it's E. This one is pretty straightforward:

7 candidates for math department

45 combinations of candidates for computer science department [(10*9)/2!].

7*45 = 315
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by getneonow » Wed May 28, 2008 1:04 am
7 *10C2 (coz the positions are identical)

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