In how many different ways can the letters of the word ‘LEADING’ be arranged in such a way that the vowels always come together?
360
480
720
5040
Explanation:
In the given word LEADING, there are 3 vowels - E, A & I & we want them together.
As this is a word with 7 letters, we can choose consecutive places in 5 ways.
3 vowels can change their places in 3! ways.
Other 4 consonants can reverse themselves in 4! ways.
Total ways = 5 × 3! × 4! = 720.
In the given word LEADING, there are 3 vowels - E, A & I & we want them together.
As this is a word with 7 letters, we can choose consecutive places in 5 ways.
3 vowels can change their places in 3! ways.
Other 4 consonants can reverse themselves in 4! ways.
Total ways = 5 × 3! × 4! = 720.