Question

The number of ways one can arrange words with the letters of the word "MADHURI" so that always vowels occupy the beginning, middle and end places is

• A. $7!$
• B. ${}^3{C}_3{.}^4{P}_3$
• C. $3{.}^4{C}_4$
• D. $3!4!$

Answer 1

The correct option is D $3!4!$

Vowels in the given word are A,U and I.

3 vowels occupy 3 places which can be arranged amongst themselves in $3!$ ways.

Remaining 4 letters can be arranged in $4!$ ways.

So, the total number of ways is $3!\times 4!$ i.e. option D