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

Ex Input:
Problem: if w is the set of all the integers between 35 and 64 , inclusive , that are either multiples of 3 or multiples of 2 or multiples of both , then w contains how many numbers ? 
Options: a ) 18 , b ) 19 , c ) 61 , d ) 31 , e ) 11

Ex Output:
b


Ex Input:
Problem: a certain university will select 1 of 6 candidates eligible to fill a position in the mathematics department and 2 of 9 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 ) 216 , b ) 212 , c ) 214 , d ) 210 , e ) 120

Ex Output:
a


Ex Input:
Problem: in assembling a bluetooth device , a factory uses one of two kinds of modules . one module costs $ 10 and the other one , that is cheaper , costs $ 3.5 . the factory holds a $ 45 worth stock of 11 modules . how many of the modules in the stock are of the cheaper kind ? 
Options: a ) 30 , b ) 28 , c ) 25 , d ) 20 , e ) 10

Ex Output:

e