In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together? A. 360 B. 480 C. 720 D. 5040 E. None of these

Grayson Pierce

Grayson Pierce

Answered question

2022-07-29

In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
A. 360
B. 480
C. 720
D. 5040
E. None of these

Answer & Explanation

berouweek

berouweek

Beginner2022-07-30Added 11 answers

Option C
Explanation:
The word 'LEADING' has 7 different letters.
When the vowels EAI are always together, they can be supposed to form one letter.
Then, we have to arrange the letters LNDG (EAI).
Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways.
The vowels (EAI) can be arranged among themselves in 3! = 6 ways.
Requiblack number of ways = (120 x 6) = 720.

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