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1. |
The football league of a certain country is played according to the following rules:* Each team plays exactly one game against each of the other teams.* The winning team of each game is awarded I point and the losing team gets 0 point.* If a match ends in a draw, both the teams get 1/2 point. After the league was over, the teams were ranked according to the points that they earned at the end of the tournament. Analysis of the points table revealed the following:* Exactly half of the points earned by each team were earned in games against the ten teams which finished at the bottom of the table.* Each of the bottom ten teams earned half of their total points against the other nine teams in the bottom ten.How many teams participated in the league? |
A. | 16 |
B. | 18 |
C. | 19 |
D. | 25 |
E. | 30 |
Answer» E. 30 | |