16 teams play in a basketball tournament, Each team plays until it loses 1 game. There are no ties. How many games are played?
2007-01-29 08:44:49 · 4 answers · asked by Cutie 4 in Science & Mathematics ➔ Mathematics
16 teams ~ 8 games
8 winners so 8 teams out, now down to 8 teams ~ 4 games
4 winners so 4 more out, now 4 teams remain ~ 2 games
2 winners so 2 more out, now 2 remain ~ 1 game
1 winner and tournament is finished.
8+4+2+1 = 15 games
2007-01-29 08:50:28 · answer #1 · answered by matthewjc314 3 · 0⤊ 0⤋
8+4+2+1
2007-01-29 16:48:42 · answer #2 · answered by Professor Maddie 4 · 0⤊ 0⤋
16 teams play8
8 teams play 4
4 play 2
2 play in the final
therefore 8 4 2 1
total 15 games.
2007-01-29 16:50:12 · answer #3 · answered by hughr k 2 · 0⤊ 0⤋
Assuming no ties, there will be 15 games.
With no ties, each game has a winner and loser, so for every game played, one team will be eliminated. So no matter the format, there will be 15 games. Cheers!
**Edit** Other answers here have the right number but seem to be making assumptions that the format is the standard NCAA-type bracket tournament. The format wasn't specified in the question.
2007-01-29 16:48:49 · answer #4 · answered by bag o' hot air 2 · 1⤊ 1⤋