Question

In an examination there are three multiple choice questions and each question has 4 choices. Number of ways in which a student can fail to get all answer correct is

(A) 11 

(B) 12 

(C) 27 

(D) 63

Answer 1

The correct choice is (D). 

There are three multiple choice question, each has four possible answers. Therefore, the total number of possible answers will be 4 × 4 × 4 = 64. Out of these possible answer only one will be correct and hence the number of ways in which a student can fail to get correct answer is 64 – 1 = 63.