perplexus.info :: General : The soccer tournament

The soccer tournament (Posted on 2005-07-26)

Eight (8) soccer teams (named A, B, C, D, E, F, G and H) are ready to a tournament among them, where each team will play against each of the other 7 teams once, and only once. They have 7 stadiums available, and agree that each team must play in all the 7 stadiums, once in each. In each round the 8 teams will play, so it will have 4 matches every day, and the tournament will last in 7 days.

Schedule the matches in each of the seven days, and in what stadiums they will be played.

See The Solution Submitted by pcbouhid

Rating: 2.3333 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

Solution

Comment 12 of 12 |

B C D E F G H

A 1,2 2,3 3,4 4,5 5,6 6,7 7,1

B 3,4 4,5 5,6 6,7 7,1 2,3

C 5,6 6,7 7,1 4,5 1,2

D 7,1 2,3 1,2 6,7

E 1,2 2,3 3,4

F 3,4 4,5

G 5,6

Explanation: (Best, by example)

The entry (1,2) at the intersection of row A and column B means that team A plays against team B on day 1 in stadium 2.

There are many solutions

Edited on December 27, 2022, 2:49 pm

Posted by FrankM on 2022-12-22 20:42:08

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (12)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info