I am interested what type of combinatorics is using for following bookmakers system called S3:We have  N={1..8} eventsWe build express pairs C=8 like[(1, 2, 4), (1, 3, 6), (1, 6, 8), (2, 3, 5), (2, 5, 8), (3, 7, 8), (4, 5, 7), (4, 6, 7)]Each event repeats 3-times: 1 =>  (1, 2, 4), (1, 3, 6), (1, 6, 8)..It's not permutation, combination... Please advice what is it?I want as example generate in similar way 4 from 10 if this possible. After I'd like to predict the optimal way for building the `pairs'
Combinatoric system which using in bookies S3 system
machine learning;data mining;classification;clustering;statistics