Question #184900
How many arrangements are possible for the word GROVEL if the vowels
are always together?
Expert's answer
Grovel has two vowels.
Grouping the vowels together OEGRVL
Let the grouped vowels be represented by X
OEGRVL=>XGRVL
We have a 5 lettered word. The number of arrangements is 5P5=5!
But again we have 2 vowels which can take various arrangements within themselves. The number of arrangements within the vowels are 2P2=2!
The total number of possible arrangements are
5!*2!=120*2
=240
