Math, asked by ruparups338, 5 months ago

In how many different ways can the letters of the word ELITMUS be arranged so that the
consonants always come together

Answers

Answered by arjun6355m
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

helping u ..

Answered by Anonymous
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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