In how many ways can the letters of the word MAXIMA be arranged such that all vowels are together and all constants are together?

Question

Accepted Answer

Correct answer: A. (a) Given word = MAXIMA Total Number of letters =6 Total number of vowel =3 (i.e. A ,T ,A ) Total number of consonants =3 (i.e. M ,X ,M ) Number of all vowel occur together only = 3 !2 !=3 All arrangements when all vowels are together and all consonants are together =2 3 3=18

$In how many ways can the letters of the word MAXIMA be arranged such that all vowels are together and all constants are together?$

Solution

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