In this task, you need to provide the correct option for a given problem from the provided options.

Input: Consider Input: Problem: 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 ? 
Options: a ) 42232 , b ) 42170 , c ) 14008 , d ) 16510 , e ) 41160

Output: e


Input: Consider Input: Problem: the sub - duplicate ratio of 25 : 49 is 
Options: a ) 4 : 3 , b ) 5 : 7 , c ) 6 : 4 , d ) 1 : 4 , e ) 2 : 3

Output: b


Input: Consider Input: Problem: in a class of 38 children , 19 play tennis , 21 play squash and 10 play neither sport . ( 1 ) how many children play both sports ? 
Options: a ) 11 , b ) 12 , c ) 14 , d ) 15 , e ) 19


Output: b