In this task, you need to provide the correct option for a given problem from the provided options.
--------
Question: Problem: if m = 3 ^ n , what is the greatest value of n for which m is a factor of 22 ! 
Options: a ) 8 , b ) 10 , c ) 9 , d ) 14 , e ) 16

Answer: c


Question: Problem: a certain store sold pens for $ 0.35 each and pencils for $ 0.25 each . if a customer purchased both pens and pencils from the store for a total of $ 1.80 , what total number of pens and pencils did the customer purchase ? 
Options: a ) 6 , b ) 9 , c ) 10 , d ) 11 , e ) 12

Answer: a


Question: Problem: in a graduating class of 242 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology ? 
Options: a ) 144 , b ) 119 , c ) 113 , d ) 88 , e ) 123

Answer:
e