Q. How many ways are three to arrange the letters in the word ‘GARDEN’ with the vowels in alphabetical order?
A) 120
B) 240
C) 360
D) 480
Explanation
(c)
Total number of ways in which all letters can be arranged in $6!$ ways.
There are two vowels in the word GARDEN
Total number of ways in which these two vowels can be arranged$= 2!$
$\therefore$ Total number of required ways$= \frac{6!}{2!} = 360$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.