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

 

A.

360

B.

240

C.

120

D.

480

Answers (1)

best_answer

Total number of ways in which all letters of the word GARDEN can be arranged =6!

There are two vowels in the word GARDEN

Total number of ways in which these two vowels can be arranged =2!

∴∴ Total number of required ways =6!2!6!2!

\Rightarrow \frac{6*5*4*3*2!}{2!}

⇒360

Hence (A) is the correct answer

Posted by

Harsh

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