The letter of word CLIFTON are placed at random in a row. What is thechance that two vowels come together?

The letter of word CLIFTON are placed at random in a row. What is thec

1.	The letter of word CLIFTON are placed at random in a row. What is thechance that two vowels come together?
Answer» There are `7` letters in the word CLIFTON. So, there are total `7!` ways of arranging these letters. Now, we have to find number of ways that the two vowels come together. We can consider these two vowels as a single entity as they will always be together. So, we can arrange the word in `6!` ways. When the two vowels `I` and `O` are together, we can arrange these vowels in `2!` ways. So, there are total `6!xx2!` ways in which two vowels can come together. `:.` The required probability `= (6!xx2!)/(7!) = 2/7.`

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The letter of word CLIFTON are placed at random in a row. What is thechance that two vowels come together?

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