A certain university will select 2 of 5 candidates eligible to fill a position in the mathematics department and 3 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?
Answers.
A) 42  B) 70  C) 540  D) 565  E) 560
5C2*8C3 = 10*56= 
<gadget id="calculator">10*56</gadget>
<output>560</output>
560   the answer is (560)
<result>E</result>
A certain university will select 2 of 5 candidates eligible to fill a position in the mathematics department and 3 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?