Question

How many words can be formed by using all letters of the word â€daughter’ so that the vowels always come together?

Answer 1

Answer

The word 'daughter' can be arranged in 3! x 6! ways

Explanation

It is given that,

The word is daughter

Here the word DAUGHTER consists of 8 letters

There are 3 vowels and 5 consonants.

The condition is that, the vowels always come together

The vowels considered as one letter. so total 6 letters

6 letters can be arranged in 6! ways

And 3 vowels are arranged in 3! ways

Therefore the word 'daughter' can be arranged in 3! x 6! ways