English

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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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 answer correct is ______.

Options

  • 11

  • 12

  • 27

  • 63

MCQ
Fill in the Blanks
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Solution

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 63.

Explanation:

There are three multiple choice question, each has four possible answers.

Therefore, the total number of possible answers will be 4 × 4 × 4 = 64.

Out of these possible answer only one will be correct

Hence the number of ways in which a student can fail to get correct answer is 64 – 1 = 63.

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Chapter 7: Permutations and Combinations - Solved Examples [Page 121]

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NCERT Exemplar Mathematics [English] Class 11
Chapter 7 Permutations and Combinations
Solved Examples | Q 18 | Page 121

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