There are 64 volleyball teams entering a single-elimination tournament. In the first round of each play, each team plays one oth
er team, so 32 games will be played in all. The 32 remaining teams will advance to the second round, which will have 16 games in all, and so on. This continues until there is one team remaining. There are no tie games, and games are played into over times if needed. How many rounds of play are needed before a winner is determined?
Per round there are a certain amount of teams which cuts the amount of games in half. For Example, in the first round there are 64 teams which cuts the amount of games in half to 32 games. This will keep occurring until there are only 2 teams left with one game (This declares the winner).
First round:
64 teams
32 games
Second round:
32 teams
16 games
Third round:
16 teams
8 games
Fourth Round:
8 teams
4 games
Fifth Round:
4 teams
2 games
Sixth Round:
2 teams
1 game
___________
Thus, a winner will be determined in the sixth round of the tournament.
