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

Options

A. 480
B. 240
C. 360
D. 120

Answer

C

Explanation

There are two vowels viz. A and E in the word GARDEN. There are 6!=720 arrangements of the letters of the word GARDEN. In half of these arrangenments A occurs prior to E and in the remaining half E occurs prior to A.
Henc, required number of arrangements `=(1)/(2)xx720=360`.