 Tournament Scheduling,
a selection of answers from the Dr. Math archives.
 Round Robin Tournament Schedule
 Is there a systematic way to come up with a schedule for a round
robin tournament for up to 32 teams, where each team plays every other
team once?
 Hockey League Tournament Schedule
 Can you help me construct a schedule for a round robin style
junior hockey tournament with two divisions (one of 6 teams, one of 10),
using only four fields?
 How Many Games in the Tournament?
 There are eight teams in a singleelimination tournament. Each team
gets to play until it loses. How many games will be played in the
tournament?
 Darts Tournament with Eight
Players
 There are eight players in a darts tournament. Each player plays
one game against each of the other players. How many dart games will
be played in the tournament?
 Determining the Winner of a
Tennis Match
 How many matches will it take to determine the champion in a tennis
tournament that started with 89 players?
 How Many Balls Would Be Used?
 Consider a knockout tournament, say tennis or pingpong, with
n participants. The winner of any game goes on to the next round and
the loser retires... How many balls have been used in the tournament?
 NCAA Tournament Possibilities
 In an NCAA Tournament office pool where you fill out the brackets
by selecting the team you think will win each game, how many possible
combinations are there?
 Predicting NCAA Tournament
Winners
 What are the odds of one person predicting the winners of all
63 games in the NCAA Basketball Tournament?
 Dinner Triplets
 A woman has 15 friends. For 35 days she wants to have dinner with
3 friends a day, arranging it so that each pair of friends will come
only once. Is this possible?
