A certain university will select 1 of 7 candidates eligible : PS Archive
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# A certain university will select 1 of 7 candidates eligible

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Senior Manager
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A certain university will select 1 of 7 candidates eligible [#permalink]

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16 Sep 2008, 13:27
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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
Senior Manager
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16 Sep 2008, 14:01
45 * 7 = 315 = E
45 ways in which you can select 2 different people out of 10
7 ways in which you select 1 out of 7
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16 Sep 2008, 23:33
7c1 X 10c2= 7x10x9/2 = 315
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17 Sep 2008, 07:39
Typo on my end. now corrected. thanks.

domleon wrote:
7c1 X 10c2= 7x10x9/2 = 315
Re: PS   [#permalink] 17 Sep 2008, 07:39
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