AP EAPCET 23-Aug-2021 Shift 1 Paper

Given word → MAXIMA
Total letters =6
Total number of vowel =3 i.c. A, I, A
Total number of consonants = 3, i.e. MXM
Number of arrangements of all vowels together only =

3!

2!

=3
Number of arrangement of all consonants together only =

3!

2!

=3
∴ All arrangements when all vowels are together and all consonants are together =2×3×3 =18