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The number of different four-digit numbers that can be formed with the digits 2, 3, 4, 7 and using each digit only once is ______.

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Question

The number of different four-digit numbers that can be formed with the digits 2, 3, 4, 7 and using each digit only once is ______.

Options

  • 120

  • 96

  • 24

  • 100

MCQ
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Solution

The number of different four-digit numbers that can be formed with the digits 2, 3, 4, 7 and using each digit only once is  24.

Explanation:

Four-digit numbers are to be formed from the digits 2, 3, 4, 7 without repetition

So, the required 4-digit numbers = 4P4

= 4!

= 4 × 3 × 2 × 1

= 24

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Chapter 7: Permutations and Combinations - Exercise [Page 124]

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NCERT Exemplar Mathematics Exemplar [English] Class 11
Chapter 7 Permutations and Combinations
Exercise | Q 28 | Page 124

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