PASCAL 2001 Problem 12

A bag contains 20 candies: 4 chocolate, 6 mint and 10 butterscotch. Candies are removed randomly from the bag and eaten. What is the minimum number of candies that must be removed to be certain that at least two candies of each flavour have been eaten?

Answer Choices
A. 6
B. 10
C. 12
D. 16
E. 18