How many ways are there to arrange the letters in the word GARDEN with vowels in alphabetical order?
Solutions · 1
Official solution
In the word ''GARDEN'', there are two vowels A and E present, and A should come always before E.
\[\therefore\,\,\,\] Total no of ways = \[{{6!} \over {2!}}\] = 360
Here A and E has fixed order that is why we divide by 2!.