a certain university will select 3 of 7 candidates eligible to fill a position in the mathematics department and 5 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 ?
"7 c 3 * 8 c 5 = 35 * 56 = 41160 the answer is ( e )"
multiply(multiply(8, 3), 7)