1982 AHSME Problem 11

How many integers with four different digits are there between 1,000 and 9,999 such that the absolute value of the difference between the first digit and the last digit is 2?

\text {(A)} 672 \qquad \text {(B)} 784 \qquad \text {(C)} 840 \qquad \text {(D)} 896 \qquad \text {(E)} 1008

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.