There is a competition going on where 5 different games are occurring at 5 different stations. Also, there are only 5 time slots during the competition. Once the time runs out, every team rotates to another station. There are 10 teams and each of the teams has to play at a different station. The team can not stay at the station and must relocate and they can not return back to the station. Once a team arrives at a different station, they have to compete against a different team (so a team can not play the same team twice). Finally, there can only be 2 teams at a station.
To Clarify, here are the rules:
- there are only 5 time slots (this determines when the teams change stations)
- team must move after time runs out
- team must play a different team when they arrive at a new station
- there can only be 2 teams at a station at once (the two teams that are competing against eachother)
How does one schedule this with these restrictions? Please help.
Here is what I have done:
Guess and check, I've tried just filling out a 5x5 grid (5 stations vs 5 time slots) and I would always get stuck on the last line. The last line could not be filled out as there were repeat of teams at a station, or two teams that have already competed would compete again.