Discrete Mathematics
# Grid Walking

*underdog's advantage* says that whenever one team has one more point than the other, the losing team will score a point. Given that teams score one point at a time in this basketball game until one team has $8$ points, in how many different ways could the game unfold?

*home team advantage* says that whenever the home team is one point away from winning, the other team is unable to score. Given that teams score one point at a time in a soccer game until one team has $5$ points, in how many different ways could the game unfold?