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GMAT Set 1

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by moneyman » Mon Nov 05, 2007 9:38 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
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by samirpandeyit62 » Tue Nov 06, 2007 6:49 am
E 315
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by moneyman » Tue Nov 06, 2007 8:02 am
Can u pls explain the answer Samir??
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by jayhawk2001 » Tue Nov 06, 2007 11:44 am
1 math position can be filled in 7C1 = 7 ways
2 cs positions can be filled in 10C2 = 45 ways

Product = 315
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