In how many different ways can the letters of the word ELITMUS be arranged so that the
consonants always come together
Answers
Answered by
3
Answer:
Answer = 4! × 4! = 24×24 = 576
- 4! for the (L,T,M,S) arranging
- 4! for the group of consonants + three vowels arranging
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Answered by
1
Given:
The word = ELITMUS
To Find:
The ways in which the word can be arranged so that consonants always come together
Solution:
Total letters in the word = 7
Total consonants = 4
Total Vowels = 3
The ways in which consecutive places can be decided = 5
The ways in which consonants can be arranged = 4!
The ways in which vowels can be arranged = 3!
Therefore,
Total number of ways
= 5 × 3! × 4!
= 5× 3 × 2 × 1 × 4 × 3 × 2 × 1
= 720
Answer: The ways in which the word can be arranged so that consonants always come together is 720.
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