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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

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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

by M7MBA » Fri Aug 06, 2021 10:59 am

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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

Answer: E

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