Question 110
Eight teams are playing single round-robin tournament, that is each team plays every other team once. And at that the schedule is arranged by rounds, in every round all teams play. What is the least possible number of rounds should finish to determine the best and the worst teams (that is, for any results of the games in uncompleted round, this teams will have strictly highest and strictly lowest numbers of points), if the tournament is:
a) volleyball (that is, winner receives 1 point, loser - 0 and there are no ties);
b) handball (that is, winner receives 2 points, loser - 0, and for a tie each team receives 1 point)?
a) volleyball (that is, winner receives 1 point, loser - 0 and there are no ties);
b) handball (that is, winner receives 2 points, loser - 0, and for a tie each team receives 1 point)?