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 3 of 7 candidates eligible to fill a position in the mathematics department and 5 of 8 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 ) 42232 , b ) 42170 , c ) 14008 , d ) 16510 , e ) 41160
[EX A]: e

[EX Q]: Problem: a man invests some money partly in 10 % stock at 90 and partly in 5 % stock at 90 . to obtain equal dividends from both , he must invest the money in the ratio : 
Options: a ) 1 : 2 , b ) 3 : 5 , c ) 4 : 5 , d ) 16 : 15 , e ) none
[EX A]: a

[EX Q]: Problem: find the first term and the common ratio of a g . p whose fourth term is 250 and seventh term is 31,250 
Options: a ) 2 / 5,25 , b ) 4,5 / 2 , c ) 1,16 , d ) 2,5 , e ) 1,5
[EX A]:
d