A certain university will select 1 of 5 candidates eligible to fill a position in the mathematics department and 2 of 8 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?  Options:
A) 138
B) 140
C) 142
D) 145
E) 148
1C5*2C8 = 5*28= 
<gadget id="calculator">5*28</gadget>
<output>140</output>
140   the answer is (140)
<result>B</result>
A certain university will select 1 of 5 candidates eligible to fill a position in the mathematics department and 2 of 8 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?