2002 AMC 12B Problem 1

The arithmetic mean of the nine numbers in the set \{9, 99, 999, 9999, \ldots, 999999999\} is a 9-digit number M, all of whose digits are distinct. The number M does not contain the digit

\mathrm{(A)}\ 0 \qquad\mathrm{(B)}\ 2 \qquad\mathrm{(C)}\ 4 \qquad\mathrm{(D)}\ 6 \qquad\mathrm{(E)}\ 8

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