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 answers:  A) 800  B) 820  C) 880  D) 960  E) 840
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?