AMC 12 2011a Problem 2

There are $5$ coins placed flat on a table according to the figure. What is the order of the coins from top to bottom?

size(100); defaultpen(linewidth(.8pt)+fontsize(8pt));
draw(arc((0,1), 1.2, 25, 214));
draw(arc((.951,.309), 1.2, 0, 360));
draw(arc((.588,-.809), 1.2, 132, 370));
draw(arc((-.588,-.809), 1.2, 75, 300));
draw(arc((-.951,.309), 1.2, 96, 228));
label("$A$",(0,1),NW); label("$B$",(-1.1,.309),NW); label("$C$",(.951,.309),E); label("$D$",(-.588,-.809),W); label("$E$",(.588,-.809),S);

\textbf{(A)}\ (C, A, E, D, B) \textbf{(B)}\ (C, A, D, E, B) \textbf{(C)}\ (C, D, E, A, B) \textbf{(D)}\ (C, E, A, D, B) \ \textbf{(E)}\ (C, E, D, A, B)