AMC 12 2004b Problem 9

The point $(-3,2)$ is rotated $90^\circ$ clockwise around the origin to point $B$. Point $B$ is then reflected over the line $x=y$ to point $C$. What are the coordinates of $C$?

$\mathrm{(A)}\ (-3,-2) \mathrm{(B)}\ (-2,-3) \mathrm{(C)}\ (2,-3) \mathrm{(D)}\ (2,3) \mathrm{(E)}\ (3,2)$