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?

My answer: 6 ways

is this correct or incorrect please help

2 answers

1. 5 Long shots.

2. 4 Long shots, 1 field goal, 1 free throw.

3. 4 Long shots and 3 free throw.

4. 3 Long shots, 3 field goals.

5. 3 Long shots, 2 field goals, and 2 free throws.

6. 3 Long shots, 1 field goal, 4 free throws.

7. 3 Long shots, 6 free throws.

8. 2 long shots, 4 field goals, 1 free throw.

9. 2 Long shots, 3 field goals, 3 free throws.

10. 2 Long shots, 2 field goals, and 5 free throws.

11. 2 Long shots, 1 field goal, and 7 free throws.

12. 2 Long shots, 9 free throws.

13. 1 Long shot, 4 field goals, and 4 free throws.

14. 7 field goals, 1 free throw.

15. 6 field goals, 1 field goal, 1 free throws.

16. 5 field goals, 5 free throws.

17. 4 field goals, 7 free throws.

18. 3 field goals, 9 free throws.

19. 2 field goals, 11 free throws.

20. 1 field goal, 13 free throws.

21. 15 free throws.
21 Ways to score 15 points.