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Question
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-
Options:
A .  11
B .  27
C .  12
D .  63
Answer: Option D
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

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