Question

Joe made 15 points in a basketball game, 3 points are given for a long shot, 2 points given for a field goal, and 1 point is given for a free throw. In how many ways can Joe score 15 points?

Answer 1

I tried to make a list and found 27 ways tell me if I missed any order is (3point,2point,1point) (0,0,15) (0,1,13) (0,2,11) (0,3,9) (0,4,7) (0,5,5) (0,6,3) (0,7,1) (1,0,12) (1,1,10) (1,2,8) (1,3,6) (1,4,4) (1,5,2) (1,6,0) (2,0,9) (2,1,7) (2,2,5) (2,3,3) (2,4,1) (3,0,6) (3,1,4) (3,2,2) (3,3,0) (4,0,3) (4,1,1) (5,0,0) 27 is my answer