Q. The number of words which can be formed the letters of the word MAXIMUM, if two consonants cannot occur together, is
A) $4!$
B) $3! \times 4!$
C) $7!$
D) None of these
Explanation
(a)
In a given word 'MAXIMUM', vowels (A, I, U) fix the alternate position in $3!$ Ways.
And last of the consonants (M, M, M, X) in four places can be placed in $\frac{4!}{3!}$ ways.
$\therefore$ Required number of ways $= 3! \times \frac{4!}{3!} = 4!$ ways
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.