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

Ex Input:
Problem: at a conference table , 6 employees gather around a table . one of the employees is the manager and he sits at the head of the table . two of the employees sit on either side of the table . how many different seating arrangements can be made with these 6 employees ? 
Options: a ) 60 , b ) 80 , c ) 100 , d ) 120 , e ) 140

Ex Output:
d


Ex Input:
Problem: the probability that event a occurs is 0.4 , and the probability that event b occurs is 0.45 . if the probability that either event a or event b occurs is 0.6 , what is the probability that event b and event b will occur ? 
Options: a ) 0.25 , b ) 0.15 , c ) 0.45 , d ) 0.5 , e ) 0.55

Ex Output:
a


Ex Input:
Problem: a question paper has 2 parts , a & b , each containing 10 questions . if a student has to choose 5 from part a & 10 from part b , in how many ways can he choose the questions ? 
Options: a ) 100 , b ) 120 , c ) 125 , d ) 350 , e ) 252

Ex Output:

e


