AMC 12 2003b Problem 8

Let $\clubsuit(x)$ denote the sum of the digits of the positive integer $x$. For example, $\clubsuit(8) = 8$ and $\clubsuit(123) = 1 + 2 + 3 = 6.$ For how many two-digit values of $x$ is $\clubsuit(\clubsuit(x)) = 3?$

$\text{(A) }3 \text{(B) }4 \text{(C) }6 \text{(D) }9 \text{(E) }10$