instruction:
In this task, you need to provide the correct option for a given problem from the provided options.
question:
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
answer:
b


question:
Problem: how many of the positive factors of 17 are not factors of 34 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
answer:
a


question:
Problem: two brother x and y appeared for an exam . let a be the event that x is selected and b is the event that y is selected . the probability of a is 17 and that of b is 29 . find the probability that both of them are selected . 
Options: a ) 2 / 63 , b ) 2 / 67 , c ) 2 , d ) 3 / 31 , e ) 4
answer:

a