A certain university will select 1 of 8 candidates eligible to fill a position in the mathematics department and 2 of 12 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?	Pick:
A) 340	B) 380	C) 472	D) 528	E) 630
1C8*2C12 = 8*66= 
<gadget id="calculator">8*66</gadget>
<output>528</output>
528   the answer is (528)
<result>D</result>
A certain university will select 1 of 8 candidates eligible to fill a position in the mathematics department and 2 of 12 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?