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Q.

How many ways are there to arrange the letters in the word GARDEN with the vowels in alphabetical order?

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answer is 360.

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Detailed Solution

Total number of arrangements of letters in the word GARDEN = 6 ! = 720 there are two vowels A and E, in half of the arrangements A preceeds E and other half A follows E. So, vowels in alphabetical order in 12×720=360

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