Find the number of different 8 letter arrangements that can be made from the letters of the word "DAUGHTER " so that $(A)$ All vowels occur together $(B)$ All vowels do not occur together

Open in App

Solution

(1) DAUGHTER
(A) vowel together
AUE DGHTR
$6! \times 3!$
(B) vowels aren't together
$= 8!$

Suggest Corrections

Similar questions

Find the no.of different 8-letter arrangements that can be made from the letters of the word DAUGHTER so that:

(a)All vowels occur together.

(b)All vowels do not occur together.

8 -

D A U G H T E R

(i)

(i i)

Find the number of different 8-letter arrangements that can be made from the letters of the word DAUGHTER so that

1) all vowels occur together

2) all vowels do not occur together.

8

Join BYJU'S Learning Program