2016 Cayley 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?

\textbf{(A)}\ 199\,680\quad \textbf{(B)}\ 199\,968\quad \textbf{(C)}\ 199\,584\quad \textbf{(D)}\ 199\,872\quad \textbf{(E)}\ 199\,776

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Cayley contests here.