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How Many Permutations Can Be Formed by the Letters of the Word, 'Vowels', Whenall Vowels Come Together?

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प्रश्न

How many permutations can be formed by the letters of the word, 'VOWELS', when

all vowels come together?

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उत्तर

The word VOWELS consists of 2 vowels.
If we keep all the vowels together, we have to consider them as a single entity.
Now, we are left with the 4 consonants and all the vowels that are taken together as a single entity.
This gives us a total of 5 entities that can be arranged in 5! ways.
It is also to be considered that the 2 vowels can be arranged in 2! ways amongst themselves.

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Factorial N (N!) Permutations and Combinations
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अध्याय 16: Permutations - Exercise 16.4 [पृष्ठ ३७]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.4 | Q 7.4 | पृष्ठ ३७

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