CAYLEY 2016 Problem 25

A new language uses only the letters A,B,C,D, and E. The letters A and E are called vowels, while the letters B,C and D are called consonants. A sequence of letters is called a word if it does not include the same letter twice in a row, and it does not include two vowels in a row. How many words are there in this language that are 10 letters long and that begin with a vowel?

Answer Choices
A. 199\:680
B. 199\:968
C. 199\:584
D. 199\:872
E. 199\:776