9. The country's football cup was played according to the Olympic system: the losing team was eliminated from the competition, and in case of a draw, a replay was scheduled. A total of \(m\) matches were played, including \(n\) replays. How many teams participated in the cup draw?
9. Solution. There were \(m-n\) matches in total, each with a winner. Therefore, there were \(m\) - \(\eta\) teams that were eliminated from the competition. Only one team, the winner, did not suffer any defeats. Thus, the number of teams that participated in the competition is \(m-n+1\) ( \(m>n\) ).