2017 AMC 10B 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\qquad\textbf{(B)}\ 471\qquad\textbf{(C)}\ 475\qquad\textbf{(D)}\ 478\qquad\textbf{(E)}\ 481

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