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Find the number of different words that can be formed from the letters of the word ‘TRIANGLE’ so that no vowels are together.

Solution:

It is known that,

As per the question,

3 = Total number of vowels letter,

5 = Total number of consonants letter

   

Vowels can be placed in

The number of way consonants can be arranged placed

As a result, the total number of ways it can be arranged