The number of words (with or without meaning) that can be formed from all the letters of the word “BETTER” in which vowels never come together is
The word ‘BETTER’ has 6 letters in which 2 are repeated twice.
The total number of 6 letters word is given by,
There are 2 vowels in the word that is (EE).
So, the vowels can be arranged in ways.
Thus,
Thus, the total number of words where vowels are not together is .
Therefore, the total number of ways the word is formed is 120 ways.
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