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# A certain university will select 1 of 7 candidates eligible

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VP
Joined: 13 Jun 2004
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A certain university will select 1 of 7 candidates eligible [#permalink]

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16 Feb 2005, 19:32
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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
Intern
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17 Feb 2005, 06:49
Yup its 315.

7 * 10C2 = 315
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VP
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17 Feb 2005, 06:55
E) as well !

7c1 * 10c2
Intern
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17 Feb 2005, 16:00
E here as well. What is the OA please ?
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17 Feb 2005, 16:07
My asnwer is E

7C1 * 10C2 = 7*45 = 315
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VP
Joined: 13 Jun 2004
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Schools: Tuck'08
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17 Feb 2005, 16:35
Yep...OA is E
17 Feb 2005, 16:35
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