Question

The number of ways to arrange the letters in the word GARDEN with the vowels in alphabetical order

• A. 120
• B. 360
• C. 480
• D. 300

Answer 1

The correct option is B 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 the other half, E will be before A.
Hence total number of ways required $=\frac{6!}{2}=360$