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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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प्रश्न

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

विकल्प

  • 574

  • 36

  • 754

  • 144

MCQ

उत्तर

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

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अध्याय 16: Permutations - Exercise 16.7 [पृष्ठ ४६]

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आरडी शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.7 | Q 3 | पृष्ठ ४६

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