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

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

Grade:11

1 Answers

SAGAR SINGH - IIT DELHI
879 Points
10 years ago

Dear student,

Total number of ways in which all letters can be arranged in alphabetical order=6! There are two vowels in the word GARDEN namely 'A' & 'E'. So,the total number of ways in which these two vowels can be arranged=2! Therefore,the total number of required ways=6!/2!=720/2=360

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