In a Question paper there are 6 multiple choice questions. Each question has 3 choices with only one choice as the correct answer. What is the total number of ways in which a candidate will not get all the four answers correct? Choose the correct choice from the following options:
A) 19  B) 85  C) 748  D) 624  E) 1024
A candidate can answer the test in 3^6 number of ways (each question has 3 choices and we have total of 6 questions). Now, out of these cases there will be only one case when the candidate answered all the six questions correct. Therefore the total number of ways in which a candidate will NOT get all the six answers correct is 3^6-1=748.   Answer: C.
<result>D</result>
In a Question paper there are 6 multiple choice questions. Each question has 3 choices with only one choice as the correct answer. What is the total number of ways in which a candidate will not get all the four answers correct?