Question

The number of words which can be formed from 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

Answer 1

Answer: (A)

4 !

Answer 2

$\bullet \mspace{6mu} A \bullet I \bullet U \bullet$

The pointed places to be filled by $MXMM$.

Hence required number of ways $3\mspace{6mu}!\mspace{6mu} \times \frac{4\mspace{6mu}!}{3\mspace{6mu}!} = 4\mspace{6mu}!$

{Since three vowels can be arranged in $3\mspace{6mu}!$ ways also}.