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.

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1 Answers

(a) : Number of letters = 6
Number of vowels = 2 namely A.E these alphabets can be arrange themselves by 2! ways
∴ Number of words =6!/2! = 360

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