In how many ways the letters of the word AUTHORISE can be arranged such that the vowels are in alphabetical order?

Question

Answer 1

Hi
The total ways possible = 9!
Now in these 1 out of all 5! ways , AEIOU will be in alphabetical order
So we get the arrangements as 9!/5!

Answer 2

Hi
The total ways possible = 9!
Now in these 1 out of all 5! ways , AEIOU will be in alphabetical order
So we get the arrangements as 9!/5!

In how many ways the letters of the word *AUTHORISE* can be arranged such that the vowels are in alphabetical order?