Question

How many ways are there to arrange the letters in the word 'GARDEN' with the vowels in alphabetical order?

(a) 120 

(b) 240 

(c) 360 

(d) 480

Answer 1

Correct option (c) 360

Explanation:

Total number of ways in which all letters can be arranged in alphabetical order = 6!.

There are two vowels (A, E) in the word GARDEN' Total number of ways in which these two vowels can be arranged = 2!

.'. Total number of required ways = 6!/2! = 360