a certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 10 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 ?
"1 c 7 * 2 c 10 = 7 * 45 = 315 the answer is ( e )"
multiply(multiply(10, 3), 7)