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

Example Input: Problem: bucket p has thrice the capacity as bucket q . it takes 60 turns for bucket p to fill the empty drum . how many turns it will take for both the buckets p & q , having each turn together to fill the empty drum ? 
Options: a ) 45 , b ) 53 , c ) 54 , d ) 46 , e ) 63
Example Output: a

Example Input: Problem: there are 8 executives , including the ceo and cfo , that are asked to form a small team of 4 members . however , the ceo and cfo may not both be assigned to the team . given this constraint , how many ways are there to form the team ? 
Options: a ) 45 , b ) 55 , c ) 65 , d ) 75 , e ) 85
Example Output: b

Example Input: Problem: a certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 7 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 ) 42 , b ) 70 , c ) 147 , d ) 165 , e ) 315
Example Output:
c