AMC 10 2017b Problem 16

How many of the base-ten numerals for the positive integers less than or equal to $2017$ contain the digit $0$? $\textbf{(A)}\ 469 \textbf{(B)}\ 471 \textbf{(C)}\ 475 \textbf{(D)}\ 478 \textbf{(E)}\ 481$