Correct Answer - Option 4 : 6!3!
Given:
COMPUTER has 8 letters
Calculation:
In the given word, there are 3 vowels O, U, and E which will be treated as 1 unit.
So, there will be 5 consonants to arrange but vowels can alter their places.
There are 3 vowels and 6(5 consonant units + 1 vowel unit) objects that can be rearranged.
The required arrangement is 6! × 3!
∴ The COMPUTER can be arranged in 6!3! ways so that vowels can be together.
