In how many ways can the letters of the word CREATION be arranged such that all the vowels always appear together?  Choose one.
A) 5!*4!
B) 8!
C) 8!*4!
D) 4!*4!
E) 8!*5!
The 8 letters can be grouped into 4 consonants and one set of 4 vowels.   The number of ways to arrange 5 units is 5!   Then, for each arrangement, the 4 vowels can be arranged in 4! ways.   The total number of arrangements is 5!*4!   The answer is 5!*4!.
<result>A</result>
In how many ways can the letters of the word CREATION be arranged such that all the vowels always appear together?