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

Input: Consider Input: Problem: in how many ways 7 boys and 7 girls can be seated in a row so that boys and girls are alternate ? 
Options: a ) 50803200 , b ) 50328000 , c ) 50003280 , d ) 50703200 , e ) 50603200

Output: a


Input: Consider Input: Problem: in how many ways 4 boys and 2 girls can be seated in a row so that they are alternate . 
Options: a ) 48 , b ) 288 , c ) 12 , d ) 256 , e ) none

Output: a


Input: Consider Input: Problem: a bag contains 12 red jellybeans and 12 blue jellybeans . if 3 jellybeans are removed one at a time , at random and are not replaced , what is the probability that all 3 jellybeans removed from the bag are blue ? 
Options: a ) 9 / 100 , b ) 2 / 19 , c ) 1 / 8 , d ) 3 / 20 , e ) 3 / 10


Output: e