Make a List #10

ML #10

Hints and answers

How many different ways is it possible to score 15 points in basketball?

Remember, in basketball you can score 1 point (for a foul shot), 2 points (for a "regular" basket), or 3 points (for a "long" basket) at a time.


In this problem, we're not interested in the order in which the points were scored, just how many foul shots, how many regular baskets, and how many 3-point shots were made (in other words, we're interested in the "box score").

For instance, you could score four 2-pointers, two 3-pointers and one foul shot, or three 2-pointers, one 3-pointer and six foul shots, and so forth.

This definitely calls for one of our famous lists!

As always, be sure to explain the work you did to arrive at your answers!