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

Input: Consider Input: Problem: the weights of one liter vegetable ghee packet of two brands ' a ' and ' b ' are 900 gm and 700 gm respectively . if they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters , what is the weight ( in kg ) of the mixture ?
Options: a ) 3.84 , b ) 1.75 , c ) 3.28 , d ) 2.72 , e ) none of these

Output: c

Input: Consider Input: Problem: 9 log 9 ( 7 ) = ?
Options: a ) 1 , b ) 2 , c ) 7 , d ) 4 , e ) 5

Output: c

Input: Consider Input: Problem: a certain university will select 2 of 5 candidates eligible to fill a position in the mathematics department and 3 of 8 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 ) 540 , d ) 565 , e ) 560
Output: e