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# A certain university will select 1 of 7 candidates eligible

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VP
Joined: 13 Jun 2004
Posts: 1123
Location: London, UK
Schools: Tuck'08
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Kudos [?]: 30 [0], given: 0

A certain university will select 1 of 7 candidates eligible [#permalink]  16 Feb 2005, 19:32
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
Joined: 02 Dec 2004
Posts: 9
Location: Stockholm, Sweden
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Kudos [?]: 0 [0], given: 0

Yup its 315.

7 * 10C2 = 315
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The biggest risk in life is not taking one!!!

VP
Joined: 30 Sep 2004
Posts: 1490
Location: Germany
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Kudos [?]: 80 [0], given: 0

E) as well !

7c1 * 10c2
Intern
Joined: 11 Dec 2003
Posts: 49
Location: IN
Followers: 1

Kudos [?]: 6 [0], given: 0

E here as well. What is the OA please ?
Senior Manager
Joined: 30 Dec 2004
Posts: 296
Location: California
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Kudos [?]: 2 [0], given: 0

My asnwer is E

7C1 * 10C2 = 7*45 = 315
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VP
Joined: 13 Jun 2004
Posts: 1123
Location: London, UK
Schools: Tuck'08
Followers: 7

Kudos [?]: 30 [0], given: 0

Yep...OA is E
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