find the number of ways of permuting the letters of the word MIXTURE so that all vowels come together
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In the word mixture, consider the vowels i,u,e as one letter.
We have mxtr(iue).
The word has 5 letter.And 5 letters can be arranged in 5! ways.
Now three vowels can be arranged in 3! ways.
The required number of ways are = 5! * 3!
= 120 * 6
= 720.
Hope this helps!
We have mxtr(iue).
The word has 5 letter.And 5 letters can be arranged in 5! ways.
Now three vowels can be arranged in 3! ways.
The required number of ways are = 5! * 3!
= 120 * 6
= 720.
Hope this helps!
In the question, it is given that all vowels come together so we should treat all vowels as 1 unit. I have written in the 1st step.
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Answer:
In the word mixture, consider the vowels i,u,e as one letter.
We have mxtr(iue).
The word has 5 letter.And 5 letters can be arranged in 5! ways.
Now three vowels can be arranged in 3! ways.
The required number of ways are = 5! * 3!
= 120 * 6
= 720.
Similar questions
So they can be arranged in 4! Ways not 5!
So the answer is 3! *4! = 144