2002 AMC 10B Problem 3

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.