A tennis championship is played on a knock-out basis, i.e., a player is out of the tournament when he loses a match.
(a) How many players participate in the tournament if 15 matches are totally played?
(b) How many matches are played in the tournament if 50 players totally participate?
2006-06-15 23:09:21 · 3 answers · asked by EDWARD D 1 in Science & Mathematics ➔ Mathematics
answers: 1> 16 players
2>a minimum of 49 matches
2006-06-15 23:15:18 · answer #1 · answered by Anonymous · 1⤊ 2⤋
A knock-out tournament always consists of n-1 games, with n being the number of competitors (every has to lose a game except the winner)
a) 16
b) 49
If you're talking doubles, then the answers are:
a) 32
b) 24
2006-06-16 03:26:27 · answer #2 · answered by jimbob 6 · 0⤊ 0⤋
Crosby Thornton Vs. Sundin?
2016-03-15 06:08:11 · answer #3 · answered by Anonymous · 0⤊ 0⤋
a) 16 players ... because one is leaving all the time after a game
b) 49 matches ... same reason
2006-06-16 00:20:44 · answer #4 · answered by TJ 5 · 0⤊ 0⤋