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In how many different ways can the letters of the word 'LEADIN

Question

In how many different ways can the letters of the word $^{'} L E A D I N G^{'}$ be arranged such that all the consonants are together?

576

625

676

720

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Noah Discussed

In how many different ways can the letters of the word

^{'} L E A D I N G^{'}

be arranged such that all the consonants are together?

12 mins ago

Discuss this question LIVE

12 mins ago

Text solutionVerified

In LEADING , there are

3

vowels and

4

consonants.

Subtract the number of consonants from total number of alphabets.

Consider consonant as an entity.

_ _ _ _

Also ,When consonants are together , they can be arranged in

4!

ways

Total

4! \times 41 = 576

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Question Text	In how many different ways can the letters of the word $^{'} L E A D I N G^{'}$ be arranged such that all the consonants are together?
Answer Type	Text solution:1
Upvotes	150