The Basketball Game

Bob has recently learnt how to play basketball and he was told by Alice that the rules in basketball were as follows : • 1 point for a free throw • 2 points for a throw from within the D • 3 points for a throw from outside the D Being an inquisitive mind that Bob is, he would like to know how many combinations of 1-pointers, 2-pointers and 3-pointers can lead to a team score of N points. Now