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Answer the following.
Draw a league fixture for eight teams according to cyclic method.
Answer
Answer
AILeague fixture, cyclic method: 8 teams: $\frac{n(n-1)}{2} = 28$ matches in 7 rounds
| Round | Matches |
|---|---|
| 1 | 1 vs 8, 2 vs 7, 3 vs 6, 4 vs 5 |
| 2 | 1 vs 7, 8 vs 6, 2 vs 5, 3 vs 4 |
| 3 | 1 vs 6, 7 vs 5, 8 vs 4, 2 vs 3 |
| 4 | 1 vs 5, 6 vs 4, 7 vs 3, 8 vs 2 |
| 5 | 1 vs 4, 5 vs 3, 6 vs 2, 7 vs 8 |
| 6 | 1 vs 3, 4 vs 2, 5 vs 8, 6 vs 7 |
| 7 | 1 vs 2, 3 vs 8, 4 vs 7, 5 vs 6 |
League fixture for eight teams by the cyclic method. Number of teams = 8 (even), so there is no bye; number of rounds = $N-1 = 7$; number of matches = $\frac{N(N-1)}{2} = 28$. Team 1 is kept fixed and the other teams rotate anticlockwise round by round.
From ISC 2019 Physical Education Paper 1, question 2(b).