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  • How many different words can be formed by combining the letters of the word 'FINAL' so that the vowels always come together?Option: 1

How many different words can be formed by combining the letters of the word 'FINAL' so that the vowels always come together?

Option: 1

 36 


Option: 2

12


Option: 3

 64

 


Option: 4

48


Answers (1)

best_answer

The word ‘FINAL’ is made up of 5 letters.

To count the number of permutations possible when the two vowels I and A are combined.

In these cases, we group the letters that should be together and treat them as if they were one letter.

As a result, the letters are F, N, L, and (IA). There are now four words.

As a result, there are four ways to arrange four letters.

There are two ways to arrange I and A.
Therefore, the number of ways the letters of the word 'FINAL' can be arranged so that vowels are always together is  4! \times 2!=48\ ways.

Posted by

Suraj Bhandari

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