A certain university will select 2 of 3 candidates eligible to fill a position in the mathematics department and 4 of 5 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?	Choices:
A) 42 B) 10 C) 40 D) 65 E) 15
3C2*5C4 = 3*5= 
<gadget id="calculator">3*5</gadget>
<output>15</output>
15   the answer is (15)
<result>E</result>
A certain university will select 2 of 3 candidates eligible to fill a position in the mathematics department and 4 of 5 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?