体育比赛中的小组出线问题

设体育比赛(以足球比赛为例)中小组有n支球队,争取m个出线名额,采用单循环比赛制.记h={3/2m+[n-(m+1)]m为偶数 3/2(m-1)+1+3[n-(m+1)]m为奇数,l=n-m},则当小组积分fl时,球队小组不能出线;当小组积分l≤f≤h时,球队小组可能出线,也可能不出线;当小组积分fh时,球队小组出线.同时也讨论了足球比赛中的双循环赛制和篮球比赛的情形,得到了相应的结论.

Group qualification problemin the sports competition

Studied the problem of the team ofnformqualifying places in a single recycling game of competitions,for example the football game.Let 33[(1)]iseven23(1)13[(1)]isodd2mnmmhmnmm ì + - +??=í ?- + + - +?? ,l=n-m.when the team points fh,the team groupcan qualify.In case of football game in the double circulation format or the game of basketball,the corresponding conclusion is established.