Teacher:In this task, you need to provide the correct option for a given problem from the provided options.
Teacher: Now, understand the problem? Solve this instance: Problem: a certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 11 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 ) 385
Student:
e