Find out the no. of words.

How many words can be formed by using all the letters of the word "DAUGHTER"
so that the vowels always come together?

Answer:
4320

Explanation:

Given word contains 8 different letters.When the vowels AUE are always together

We may suppose them to form an entity,treated as one letter.

Then,the letters to be arranged are DGHTR(AUE).

These 6 letters can be arranged in 6P6=6!=720 ways

The vowels in the group (AUE) may arranged in 3!=6 ways.

therefore Required number of words=(720 X 6)=4320.