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# A certain university will select 1 of 7 candidates eligible

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Senior Manager
Joined: 10 Mar 2008
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A certain university will select 1 of 7 candidates eligible [#permalink]

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16 Sep 2008, 14:27
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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

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Senior Manager
Joined: 09 Oct 2007
Posts: 463

Kudos [?]: 52 [0], given: 1

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16 Sep 2008, 15:01
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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Manager
Joined: 14 Jun 2007
Posts: 168

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Location: Vienna, Austria

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17 Sep 2008, 00:33
7c1 X 10c2= 7x10x9/2 = 315

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Retired Moderator
Joined: 18 Jul 2008
Posts: 964

Kudos [?]: 287 [0], given: 5

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17 Sep 2008, 08:39
Typo on my end. now corrected. thanks.

domleon wrote:
7c1 X 10c2= 7x10x9/2 = 315

Kudos [?]: 287 [0], given: 5

Re: PS   [#permalink] 17 Sep 2008, 08:39
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