In a Question paper there are 3 multiple choice questions. Each question has 4 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 3 answers correct?
Options
A) 19  B) 85  C) 63  D) 54  E) 64
A candidate can answer the test in 4^3 number of ways (each question has 4 choices and we have total of 3 questions). Now, out of these cases there will be only one case when the candidate answered all the four questions correct. Therefore the total number of ways in which a candidate will NOT get all the four answers correct is 4^3-1=63.   Answer: D.
<result>C</result>
In a Question paper there are 3 multiple choice questions. Each question has 4 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 3 answers correct?