Question

How many arrangements of the letters of the word 'BERMUDA" can be made, if the relative positions of vowels and consonants are not changed?

Answer 1

Answer:

144

Step-by-step explanation:

Hi,

Given word is BERMUDA in which there are

3 vowels and 4 consonants.

If relative positions of vowels and consonants are not

changed,

Vowels can interchange between themselves in 3! ways

Consonants can permute between themselves in 4! ways

Total number of arrangements are 3!*4!

= 6*24

= 144

Hence, there a re 144 arrangements in which the relative

positions of vowels and consonants being unchanged.

Hope, it helps !