In how many ways can the letters of the word LITTER be arranged in a row so that the vowels appear in alphabetic order? Choose the correct choice from the following options.
A) 390
B) 400
C) 440
D) 360
E) 460
TWO letters can be arranged in 2! ways.   only one combination EI is required.   6 letters can be arranged in 6! ways.   thus 6!/ 2! * 1 = 360   360
<result>D</result>
In how many ways can the letters of the word LITTER be arranged in a row so that the vowels appear in alphabetic order?