Task: Question Answering
Input (English): Problem: a certain university will select 1 of 8 candidates eligible to fill a position in the mathematics department and 2 of 12 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 ? 
Options: a ) 340 , b ) 380 , c ) 472 , d ) 528 , e ) 630
Output (English): d