How many 5 block paths can take you home if walking 2 blocks north then 3 blocks west got you here? This should feel familiar if you're from NYC, Chicago, Barcelona, or Toronto!

*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?

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