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

Let's first think about a situation where the order in which A and E appears doesn't matter.
We will have 6! ways in which this can be achieved. Now comes the twist. In half of the possible arrangements , A will be before E and in other half, E will be before A.
Hence total number of ways required $=\frac{6!}{2}=360.$