[Tournaments and tournament tables]

As is known, cup football matches are played according to the Olympic system: the loser is eliminated, and in case of a draw, a rematch is played. In that year, there were no rematches, and 75 teams participated in the matches. How many matches were played for the cup? #
Note: after a loss, the team is eliminated.

## Solution

Since one team is eliminated after each game, a total of 74 matches were played.

## Answer

74 matches.