There are 5 vowels i.e. A, E, I, O and U and 3 consonants i.e. Q, T and N.
Since, vowels and consonants occur together, both (AEIOU) and (QTN) can be considered as single objects.
Thus, there are 5! Permutations of 5 vowels taken all at a time and 3! permutations of 3 consonants taken all at a time.
Therefore, by multiplication principle, the number of words
\( 2!\times 5!\times 3!= 1440 .\)Answered by Pragya Singh | 1 year ago
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