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

Input: Consider Input: Problem: there are 4 red shoes & 4 green shoes . if two of red shoes are drawn what is the probability of getting red shoes
Options: a ) 1 / 3 , b ) 1 / 14 , c ) 3 / 14 , d ) 1 / 15 , e ) 1 / 16

Output: c

Input: Consider Input: Problem: a question paper has 2 parts , a & b , each containing 8 questions . if a student has to choose 8 from part a & 4 from part b , in how many ways can he choose the questions ?
Options: a ) 110 , b ) 70 , c ) 120 , d ) 130 , e ) 140

Output: b

Input: Consider Input: Problem: a meeting has to be conducted with 6 managers . find the number of ways in which the managers may be selected from among 9 managers , if there are 2 managers who refuse to attend the meeting together .
Options: a ) 36 , b ) 40 , c ) 42 , d ) 45 , e ) 49
Output: e