2008 AMC 8 Problem 2

The ten-letter code \text{BEST OF LUCK} represents the ten digits 0-9, in order. What 4-digit number is represented by the code word \text{CLUE}?

\textbf{(A)}\ 8671 \qquad \textbf{(B)}\ 8672 \qquad \textbf{(C)}\ 9781 \qquad \textbf{(D)}\ 9782 \qquad \textbf{(E)}\ 9872

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