Question
In how many different ways can be letters of the word `BANKING` be arranged so that the vowels always come
together ?
Answer: Option E
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In the word `BANKING` , we treat the two vowels AI as one letter . Thus , we have BNKNG(AI).
This has 6 letters of which N occurs 2 times and he rest are different .
Number of ways of arranging these letters = `(6!)/((2!) (1!) (1!) (1!) (1!))` = 360.
Now, 2 vowels AI can be arranged in 2! = 2 ways.
`:.` Required number of ways = (360 x 2) = 720.
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