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

[EX Q]: Problem: how many zeros does 1000 ! end with ?
Options: a ) 20 o , b ) 24 o , c ) 249 , d ) 30 o , e ) 325
[EX A]: c

[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: each man in a gang of 100 investors has investments ineither equities or securities or both . exactly 2525 of the investors in equities haveinvestments in securities , exactly 4040 of the investorsin securities have investments inequities . how many have investmentsin equities ?
Options: a ) 70 , b ) 80 , c ) 90 , d ) 100 , e ) 120
[EX A]:
b