AMC 8 2012 Problem 10

How many 4-digit numbers greater than 1000 are there that use the four digits of 2012? $\textbf{(A)}\hspace{.05in}6 \textbf{(B)}\hspace{.05in}7 \textbf{(C)}\hspace{.05in}8 \textbf{(D)}\hspace{.05in}9 \textbf{(E)}\hspace{.05in}12$