Question

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

• A. $576$
• B. $625$
• C. $676$
• D. $720$

Answer 1

The correct option is A $576$

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

Subtract the number of consonants from total number of alphabets.

Consider consonant as an entity.

_ _ _ _

Also ,When consonants are together , they can be arranged in $4!$ ways

Total $4!\times 41=576$