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

Problem: if m = 3 ^ n , what is the greatest value of n for which m is a factor of 25 ! 
Options: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16
b

Problem: in assembling a bluetooth device , a factory uses one of two kinds of modules . one module costs $ 8 and the other one , that is cheaper , costs $ 3 . the factory holds a $ 100 worth stock of 25 modules . how many of the modules in the stock are of the cheaper kind ? 
Options: a ) 21 , b ) 20 , c ) 22 , d ) 23 , e ) 24
b

Problem: a dog breeder currently has 9 breeding dogs . 6 of the dogs have exactly 1 littermate , and 3 of the dogs have exactly 2 littermates . if 2 dogs are selected at random , what is the probability w that both selected dogs are not littermates ? 
Options: a ) 1 / 6 , b ) 2 / 9 , c ) 5 / 6 , d ) 7 / 9 , e ) 8 / 9

c