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In a soccer tournament of $9$ teams, every team plays every other team.

1. How many matches are there in the tournament?
2. If there are $5$ boys' teams and $4$ girls' teams, what is the probability that the first match will be played between $2$ girls' teams?
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1. 8! = 40 320

2. = 4!/8! = 0.000595... = 0.0006
by Diamond (42,982 points)

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