Use a systematic list or table. In basketball there are three ways to score: 1 point for a free throw, 2 points for a “short”
field goal (SFG), and 3 points for a “long' field goal (LFG).
(a) During the first half of an NBA game, the Dallas Maver-
icks scored 60 points but did not make any free throws.
In how many ways could they have scored 60 points?
(b) In their next game, they scored 30 points in the first quar-
ter including at least 18 free throws. In how many ways
could they have scored 30 points with at least 18 free
throws?