Question

In how many can the letters of the word ${}^{\prime }DETAI{L}^{\prime }$ be arranged such that both the vowels and consonants are together

• A. $32$
• B. $36$
• C. $48$
• D. $72$

Answer 1

The correct option is D $72$

$DETAIL$ here vowels and consonants has to be together.

Consider both as vowel and consonant as different identities.

While both of them can arrange among themselves

$2\times 3!\times 3!=72$