AMC 10B 2003 Problem 13

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 ?

Answer Choices
A. 3
B. 4
C. 6
D. 9
E. 10