Continuity mistake: In the first act, two of the seven Hoosiers leave the team after Hackman takes over as coach. Shortly after, one of the players reluctantly returns, bringing the total to six. The seventh member, "Buddy," is never shown returning, yet halfway through the film you start seeing him again in the games.
Other mistake: When Chozen is buying vegetables from the villagers, one of the weights from the scale is knocked onto the ground. Daniel picks it up and realises that its not a real weight and breaks it in half. If Chozen wanted to cheat the villagers when he weighed their vegetables, he would need weights that were heavier than normal, not lighter plastic ones. Lighter weights would mean that Chozen would need to add far more of the light weights to make any amount of vegetables balance out, therefore he would be paying more for the vegetables than they are worth.
Factual error: Cruise is breaking and if you watch the eight ball after the break it's following the 5 into a pocket at the end of the table closest to Tom. Now the 8 ball didn't necessarily go in because they focus on the one ball, but in the next frame shot, there's no way it could be at the opposite end of the table like they show. (00:29:20)