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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
Source: Official Guide
(A) 42
(B) 70
(C) 140
(D) 165
(E) 315
Answer: E
Source: Official Guide
