In how many ways can the letters of the word ARRANGED be arranged in a row so that the vowels appear in alphabetic order?  Choose one
A) 6720 B) 5280 C) 6240 D) 5202 E) 4020
three letters can be arranged in 3! ways.   only one combination AEI is required.   8 letters can be arranged in 8! ways.   thus 8!/ 3! * 1 = 6720.   6720
<result>A</result>
In how many ways can the letters of the word ARRANGED be arranged in a row so that the vowels appear in alphabetic order?