Question

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

• A. 120
• B. 480
• C. 360
• D. 240

Answer 1

The correct option is C 360

The total number of ways in which all letters can be arranged in 6! ways.
There are two vowels in the word GARDEN. The total number of ways in which these two vowels can be arranged is 2!
Hence, the total number of required ways $=\frac{6!}{2!}=360$