JEE MAIN - Mathematics (2004 - No. 37)
How many ways are there to arrange the letters in the word GARDEN with vowels in alphabetical order
480
240
360
120
Explication
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!.
$$\therefore\,\,\,$$ Total no of ways = $${{6!} \over {2!}}$$ = 360
Here A and E has fixed order that is why we divide by 2!.