AMC 10 2008b Problem 1

A basketball player made 5 baskets during a game. Each basket was worth either 2 or 3 points. How many different numbers could represent the total points scored by the player? $\mathrm{(A)}\ 2 \mathrm{(B)}\ 3 \mathrm{(C)}\ 4 \mathrm{(D)}\ 5 \mathrm{(E)}\ 6$