A certain university will select 2 of 6 candidates eligible to fill a position in the mathematics department and 3 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?
Choose the correct choice from the following choices
A) 42
B) 70
C) 150
D) 165
E) 315
61502*51503 = 15*10= 
<gadget id="calculator">15*10</gadget>
<output>150</output>
150   the answer is (150)
<result>C</result>
A certain university will select 2 of 6 candidates eligible to fill a position in the mathematics department and 3 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?