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 answers correct is

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 answers correct is (A) 11 (B) 12 (C) 27 (D) 63

Tardigrade Admin · Accepted Answer

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

Q. 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 answers correct is

$11$

$12$

$27$

$63$

Q. 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 answers correct is

11

12

27

63

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

Q. 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 answers correct is

$11$

$12$

$27$

$63$