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


question:
Problem: the number of sailors on a ship is 88 % more than the number of officers . the ratio of sailors to officers would be 
Options: a ) 33 : 25 , b ) 47 : 20 , c ) 47 : 25 , d ) 22 : 25 , e ) 97 : 50
answer:
c


question:
Problem: out of 470 students of a school , 325 play football , 175 play cricket and 50 neither play football nor cricket . how many students play both football and cricket ? 
Options: a ) 80 , b ) 150 , c ) 100 , d ) 180 , e ) 220
answer:

a