In how many ways can the letters of the word ASTERIX be arranged in a row so that the vowels appear in alphabetic order?  Choose the correct choice from the following choices
A) 800
B) 820
C) 880
D) 960
E) 840 eight hundred forty
three letters can be arranged in 3! ways.   only one combination AEI is required.   7 letters can be arranged in 7! ways.   thus 7!/ 3! * 1 = 840.
<result>E</result>
In how many ways can the letters of the word ASTERIX be arranged in a row so that the vowels appear in alphabetic order?