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How many arrangements of the letters of the word ‘BENGALI’ can be made if the vowels are never together.

Correct Answer: 720

Explanation:

There are 7 letters in the word ‘Bengali of these 3 are vowels and 4 consonants.


 


Considering vowels a, e, i as one letter, we can arrange 4+1 letters in 5! ways in each of which vowels are together. These 3 vowels can be arranged among themselves in 3! ways.


 


Total number of words = 5! x 3!= 120 x 6 = 720


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