Tournament Scheduling: Combinatorics Ideas

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student3
Hi!
Do you have any idea(s) on how to make a tournament scheduling by combinatorics?
or any kind of scheduling with the use of combinatorics?
 
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What kind of tournament? A "round robin" tournament, where each contestant meets every other contestant once? A "double round robin" tournament, where each contestant meets every other contestant twice? A "single elimination tournament" where a contestant is out as soon as he/she loses? A "double elimination tournament" where a contestant is out as soon as he/she loses twice?