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And, for a worst-case scenario:
6 common, non-shooting fouls per team per half: 24 fouls
3 1-and-1 fouls per team per half: 12 fouls, 12 foul shots (assuming each shooter misses the first 1-1 shot)
105 total foul shots - 12 shots in 1-1... 93 foul shots left, which runs the spectrum from 93 "and one" foul shots down to as "few" as 46 two-shot fouls and one "and one" foul, for 47 fouls.
If we use the 46 + 1 fouls, we're looking at 24 (non-shooting) + 12 (1-and-1) + 46 (two shots) + 1 ("and-one"), for a total of 83 fouls.
83 fouls = 16 players fouling out + one player with 3 fouls. If you get two teams with 17-18 players on the squad (like I had last night)... it's certainly doable.
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