AMC 8 2011 Problem 23

How many 4-digit positive integers have four different digits, where the leading digit is not zero, the integer is a multiple of 5, and 5 is the largest digit? $\textbf{(A) }24 \textbf{(B) }48 \textbf{(C) }60 \textbf{(D) }84 \textbf{(E) }108$