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The Number of Words that Can Be Formed Out of the Letters of the Word "Article" So that Vowels Occupy Even Places Is574, 36,754,144 - Mathematics

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MCQ

The number of words that can be formed out of the letters of the word "ARTICLE" so that vowels occupy even places is

Options

  • 574

  • 36

  • 754

  • 144

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Solution

144
The word ARTICLE consists of 3 vowels that have to be arranged in the three even places. This can be done in 3! ways.
And, the remaining 4 consonants can be arranged among themselves in 4! ways.
∴ Total number of ways = 3! x 4! = 144

Concept: Permutations
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Q 3 | Page 46

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