Eight teams play a league in which every pair meets once. The top 4 then play two semi-finals, a third-place match and a final. How many matches are played in all?

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Accepted Answer

32. League: ^8C_2=28. Knockout stage: 2 semi-finals + 1 third-place match + 1 final = 4. Total 28+4=32. (31 forgets the third-place match.)

Eight teams play a league in which every pair meets once. The top 4 then play two semi-finals, a third-place match and a final. How many matches are played in all?

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