Question

In how many ways can the letters of the word EQUATION be arranged so that all the vowels come together ?

• A. ${}^9{C}_4.{}^9{C}_5$
• B. $4!\times 5!$
• C. 9!/5!
• D. 9! - 4!5!

Answer 1

The correct option is B $4!\times 5!$

In EQUATION there are five vowels A, E, I, O and U and three consonants N, Q, T so the possible arrangements will be
$4!\times 5!ways.$