MathematicsIn an examination there are 3 multiple choice questions and each question has 4 choices. No. of ways in which a student can fail to get all answers correct is

In an examination there are 3 multiple choice questions and each question has 4 choices. No. of ways in which a student can fail to get all answers correct is

A
11
B
12
C
27
D
63

Solution:

Number of ways of attempting 3 questions

$= 4 \times 4 \times 4 = 64$

Number of ways of all questions got correct answers $= 1$

$∴$ Required number of ways $= 64 - 1 = 63$

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