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 -
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Total number of choices for each question - 4
No. of ways answering the all the 3 questions = 4x4x4 = 4^3 = 64.
No. of ways of correct answering (1 correct answer for each question) = 1x1x1 = 1
Total number of ways he may fail to answer all the questions correct = total number of ways of answering - correct ways = 64 - 1 = 63