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

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: find the two digit number , such that the ratio is 7 / 4 of original number to the number formed by reversing the digits . 
Options: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24
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 10 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 ) 140 , d ) 165 , e ) 315
Example Output:
e