Task: Question Answering
Input (English): Problem: in how many ways can a teacher write an answer key for a mini - quiz that contains 3 true - false questions followed by 2 multiples - choice questions with 4 answer choices each , if the correct answers to all true - false questions can not be the same ? 
Options: a ) 88 , b ) 90 , c ) 96 , d ) 98 , e ) 102
Output (English): c