2016 Gauss 8 Problem 21

Two 5-digit positive integers are formed using each of the digits from 0 through 9 once. What is the smallest possible positive difference between the two integers?

\textbf{(A)}\ 469\quad \textbf{(B)}\ 269\quad \textbf{(C)}\ 247\quad \textbf{(D)}\ 229\quad \textbf{(E)}\ 249

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 Gauss contests here.