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 ?
"5 c 2 * 8 c 3 = 10 * 56 = 560 the answer is ( e )"
multiply(multiply(8, 3), 5)