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Aptitude · Q167

Permutation And Combination

Competitive Exams · Aptitude · question 167

Q167

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

A.
11
B.
27
C.
12
D.
63
Answer

Answer: Option D

Solution

Answer: Option D
Solution:
Number of ways of attempting 1st, 2nd, 3rd question are each.
Total number of ways
43 = 4 × 4 × 4 = 64
Number of ways, getting correct answers = 13 = 1
∴ Number of ways of not getting all answer correct = 64 - 1 = 63