1997 Fermat Problem 13

The digits 1, 2, 3, 4 can be arranged to form twenty-four different 4-digit numbers. If these twenty-four numbers are listed from smallest to largest, in what position is 3142?

\textbf{(A)}\ 13\text{th}\quad \textbf{(B)}\ 14\text{th}\quad \textbf{(C)}\ 15\text{th}\quad \textbf{(D)}\ 16\text{th}\quad \textbf{(E)}\ 17\text{th}

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