2014 Cayley Problem 22

A five-digit positive integer is created using each of the odd digits 1, 3, 5, 7, 9 once so that

- the thousands digit is larger than the hundreds digit, - the thousands digit is larger than the ten thousands digit, - the tens digit is larger than the hundreds digit, and - the tens digit is larger than the units digit.

How many such five-digit positive integers are there?

\textbf{(A)}\ 12\quad \textbf{(B)}\ 8\quad \textbf{(C)}\ 16\quad \textbf{(D)}\ 14\quad \textbf{(E)}\ 10

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.