2014 Fermat Problem 19

Max and Minnie each add up sets of three-digit positive integers. Each of them adds three different three-digit integers whose nine digits are all different. Max creates the largest possible sum. Minnie creates the smallest possible sum. The difference between Max's sum and Minnie's sum is

\textbf{(A)}\ 594\quad \textbf{(B)}\ 1782\quad \textbf{(C)}\ 1845\quad \textbf{(D)}\ 1521\quad \textbf{(E)}\ 2592

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 Fermat contests here.