Chelsea, Liverpool, Manchester City and Arsenal play a small tournament, each team playing one game against each of the other three.
You are given the following information:
Fact 1. Arsenal did not score a goal but did not lose a game.
Fact 2: 5 total goals were scored.
Fact 3: Manchester City scored 2 total goals and finished with 3 draws.
Fact 4: Liverpool won the tournament.
What was the final score of the Liverpool-Chelsea game?