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The English Premier League has 20 teams, throughout the season, each team plays each of the...

The English Premier League has 20 teams, throughout the season, each team plays each of the other teams once at home and once away. (e.g. Everton plays Liverpool at Anfield, which is Liverpool’s home field, and Everton plays Liverpool at Goodison Park, which is Everton’s home field.) Teams are awarded 3 points for a win, 1 point for a draw, and 0 points for a loss.

(a) How many ways can a team win at least 4 out of 10 games? Here, order matters, and you are only considering those 10 games.

(b) How many ways can a team have the following record at the end of the season: 20 W, 10 D, and 8 L?

Math   Statistics-And-Probability   
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