Question

In how many different ways can the letters of the word ${}^{\prime }LEADIN{G}^{\prime }$ be arranged so that all the vowels are together?

• A. $360$
• B. $480$
• C. $720$
• D. $5040$

Answer 1

The correct option is C $720$

In LEADING , there are $3$ vowels and $4$ consonants.

Subtract the number of vowels from total number of alphabets.

Consider vowels as an entity.

_ _ _ _ _

Also ,When vowels are together , they can be arranged in $3!$ ways

Total $5!\times 31=720$