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

Input: Consider Input: Problem: a certain high school has 500 students . of these students , 40 are taking music , 20 are taking art , and 10 are taking both music and art . how many students are taking neither music nor art ? 
Options: a ) 430 , b ) 440 , c ) 450 , d ) 460 , e ) 470

Output: c


Input: Consider Input: Problem: a bag contains 5 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is 
Options: a ) 8 / 15 , b ) 2 / 5 , c ) 3 / 5 , d ) 11 / 15 , e ) 19 / 39

Output: e


Input: Consider Input: Problem: bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 28 white marbles . how many red marbles could be in bag a ? 
Options: a ) 1 , b ) 3 , c ) 4 , d ) 6 , e ) 7


Output: c