MathDB

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

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

Problem Statement