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Deuces of Four

00:00:00

Parts

Part 1

Raj and Rachel are playing a special game of tennis with the following rules:

- Scoring starts at 0, when someone wins a point, their score goes up by 1 (thus after the first point, the score is either 1-0 or 0-1).
- If a player gets 4 points before the other player, they win, $unless$ the score was 3-3 (deuce). If it was a deuce, a player has to win by two points to win the game.

How many ways are there to get to a score of 4-4?