If all the vowels of the word COMPUTER are taken together, the letters of the word COMPUTER can be arranged in how many different ways ?
If all the three vowels are taken together, they can be considered one element and so, the number of elements = 6
Number of ways of arranging the 6 elements = 6!
The vowels can be re arranged in the element in 3! ways.
So, total number of ways of arranging = 3! x 6! = 4320 ways
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