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: pens , pencils and markers in a jenna ' s desk are in the ratio of 2 : 2 : 5 . if there are 10 pens , the number of markers in jenna ' s desk is :
Options: a ) 30 , b ) 22 , c ) 20 , d ) 25 , e ) 100
[EX A]: d

[EX Q]: Problem: of the diplomats who attended a summit conference : 20 spoke french , 32 did not speak english and 20 % of the diplomats spoke neither french nor english . if 10 % of the diplomats spoke both french and english , then how many diplomats attended the conference ?
Options: a ) 70 , b ) 96 , c ) 108 , d ) 120 , e ) 150
[EX A]:
d