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

Example Input: Problem: from a group of 3 boys and 3 girls , 2 children are to be randomly selected . what is the probability that 1 boy and 1 girl will be selected ? 
Options: a ) 1 / 10 , b ) 4 / 9 , c ) 1 / 2 , d ) 9 / 15 , e ) 2 / 3
Example Output: d

Example Input: Problem: the membership of a committee consists of 3 english teachers , 4 mathematics teachers , and 2 social studies teachers . if 2 committee members are to be selected at random to write the committee ’ s report , what is the probability that the two members selected will both be maths teachers ? 
Options: a ) 2 / 3 , b ) 1 / 3 , c ) 2 / 9 , d ) 1 / 24 , e ) 1 / 12
Example Output: e

Example Input: Problem: in how many ways 6 boys and 6 girls can be seated in a row so that boys and girls are alternate ? 
Options: a ) 1063800 , b ) 1083600 , c ) 1036800 , d ) 1053800 , e ) 1073600
Example Output:
c