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

[EX Q]: 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
[EX A]: a

[EX Q]: Problem: how many days per calendar year is the month a factor of the day 
Options: a ) 0 , b ) 1 , c ) 59 , d ) 90 , e ) 124
[EX A]: e

[EX Q]: Problem: the ratio of two quantities is 1 to 2 . if each of the quantities is increased by 15 , what is the ratio of these 2 new quantities ? 
Options: a ) 5 : 6 , b ) 25 : 27 , c ) 15 : 16 , d ) 20 : 21 , e ) it can not be determined from the information given
[EX A]:
e