Problem

2013 Cayley Problem 14

Integers greater than 1000 are created using the digits 2, 0, 1, 3 exactly once in each integer. What is the difference between the largest and the smallest integers that can be created in this way?

\textbf{(A)}\ 2187\quad \textbf{(B)}\ 2333\quad \textbf{(C)}\ 1980\quad \textbf{(D)}\ 3209\quad \textbf{(E)}\ 4233

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


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