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In how many ways can the word ‘MENDING’ be arranged such that all the vowels are always together?
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In how many ways can the word ‘MENDING’ be arranged such that all the vowels are always together?
1). 48
2). 57
3). 50
4). 120
1 answers
3 vote
The vowels in the word ‘MENDING’ are I and E.
The letters I and E must always stay together while MNDG stay together
The letters I and E can be arranged in 2! Ways which is 2
Number of ways, the Vowels and MNDG can be arranged = 6!/2! = 360
Total number of ways such that all the vowels are always together = 360 × 2 = 720
∴ the letters in the word can be arranged in 720 ways