a certain university will select 1 of 5 candidates eligible to fill a position in the mathematics department and 4 of 7 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 1 * 7 c 4 = 5 * 35 = 175 the answer is ( c )"
multiply(multiply(7, 3), 5)