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

Input: Consider Input: Problem: a certain university will select 1 of 6 candidates eligible to fill a position in the mathematics department and 2 of 9 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? 
Options: a ) 216 , b ) 212 , c ) 214 , d ) 210 , e ) 120

Output: a


Input: Consider Input: Problem: in a group of 28 junior high school students , 5 take french , 10 take spanish , and 4 take both languages . the students taking both french and spanish are not counted with the 7 taking french or the 10 taking spanish . how many students are not taking either french or spanish ? 
Options: a ) 7 , b ) 13 , c ) 9 , d ) 12 , e ) 10

Output: b


Input: Consider Input: Problem: the probability that a computer company will get a computer hardware contract is 2 / 3 and the probability that it will not get a software contract is 5 / 9 . if the probability of getting at least one contract is 4 / 5 , what is the probability that it will get both the contracts ? 
Options: a ) 14 / 45 , b ) 4 / 9 , c ) 4 / 5 , d ) 4 / 6 , e ) none of these


Output: a