A certain university will select 1 of 6 candidates eligible to fill a position in the mathematics department and 2 of 9 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 one:
A) 216 B) 212 C) 214 D) 210 E) 120
1C6*2C9 = 6*36= 
<gadget id="calculator">6*36</gadget>
<output>216</output>
216   the answer is (216)
<result>A</result>
A certain university will select 1 of 6 candidates eligible to fill a position in the mathematics department and 2 of 9 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?