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- how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
Question 1:
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
Feedback The word 'LEADING' has 7 different letters.
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.
Required number of ways = (120 x 6) = 720.
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.
Required number of ways = (120 x 6) = 720.
D. 5040
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