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