The tournament for ABC Cup is arranged as per the following rules; in the beginning 16 teams are entered and divided in 2 groups of 8 teams each where the team in any group plays exactly once with all the teams in the same group. At the end of this round top four teams from each group advance to the next round in which two teams play each other and the losing team goes out of the tournament. Then four winning teams play for semi finals and finally there is one final. The rules of the tournament are such that every match can result only in a win or a loss and not in a tie.
(i) The maximum number of matches that a team going out of the tournament in the first round itself can win is-
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Ans.
(i)
Sol. Each team will play 7 matches and so any team can win any no. of matches between 0 to 7.
0, 1, 2, 3, 4, 5, 6, 7 Four team will be selected (7, 6, 5, 4).
Thus, team which win only 3 matches will be out of the first round.
(ii)
Sol. And from the above question minimum number of matches that a team must win in order to qualify for second round is 4 matches.
(iii)
Sol. In second round it has to win one match. Then one in semi final and one final.
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