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 Quizzes |
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Tennis is a fun sport. How much do you know
about the game? To
answer this question, try the
brain teasers and quizzes (on the left) to
test your knowledge. A Round Robin
problem is showcased below.
Good luck and have fun! |
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Round Robin |
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Director Maurice wants a round robin tournament, so
he
can rank all the players 1 through 8. Each day every
player plays one game. At the end of seven days
every player has played every other player. There
are four courts. Can you make a schedule that meets
these requirements? Can you come up with a
systematic way to schedule round robin tournaments
with any number of players? |
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Solution |
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Heres a schedule for a seven day round robin
tournament.
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12 |
13 |
14 |
15 |
16 |
17 |
18 |
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38 |
42 |
53 |
64 |
75 |
86 |
27 |
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47 |
58 |
62 |
73 |
84 |
25 |
36 |
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56 |
67 |
78 |
82 |
23 |
34 |
45 |
To make this schedule, draw seven dots in a
heptagon, and add one more dot in the middle.
Connect the dots with lines as shown below.
This represents the first days matches. Each
day, rotate the lines clockwise to the next
number. The line to 1 pivots around the center.
The same method works for any even number of
players. For odd numbers, omit the center
player, and let the unmatched player rest that
day.
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