Consider a cricket series in which 8 teams are participating. each team plays twice with all other teams. 4 of them will go to the semi final.How many matches should a team win, so that it will ensure that it will go to semi finals.?
It is 11. consider first team loses all by scoring 0 points. and second won 2 by scoring 2 points.
3rd scored 4 by winning 4 matches. now total number of matches are 2*(8c2)=56.
6 points won by the first three teams. so, remaining 5 teams may get 10 points each. so, even by 10 points you can't assure that the team will be in semis.
so, if you win 11 team will be in semi finals.
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