Football In analyzing the scoring for college football teams in a particular conference, the following facts were gathered: 70 players had scored touchdowns, 44 players had scored points after touchdowns (PATs), and 32 players had scored field goals, while 19 players had scored both touchdowns and PATs, 16 players had scored touchdowns and field goals, and 21 players had scored both PATs and field goals. Six players had scored in all three ways.
a. How many players scored only touchdowns?
b. How many players scored field goals and PATs but not touchdowns?
c. How many players scored touchdowns or field goals?
d. How many players did not score a PAT?
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