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Question
Draw a league fixture for eight teams according to cyclic method.
Numerical
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Solution
League Fixture of 8 teams by using cyclic method.
Total number of teams is 8.
No. of Matches = `(n(n-1))/2`
= `(8(8-1))/2`
= `(8(7))/2`
= `56/2`
= 28 Matches
No. of Rounds = n − 1
= 8 − 1
= 7 Rounds
| I | II | III | IV | V | VI | VII |
|||||||
| Round | Round | Round | Round | Round | Round | Round |
|||||||
| 8 | 1 | 7 | 1 | 6 | 5 | 1 | 4 | 1 | 3 | 1 | 2 | 1 | 1 |
| 7 | 2 | 6 | 8 | 5 | 7 | 4 | 6 | 3 | 5 | 2 | 4 | 8 | 3 |
| 6 | 3 | 5 | 2 | 4 | 8 | 3 | 7 | 2 | 6 | 8 | 5 | 7 | 7 |
| 5 | 4 | 4 | 3 | 3 | 2 | 2 | 8 | 8 | 7 | 7 | 6 | 6 | 5 |
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Chapter 4: Competitions and Tournaments - Questions [Page 104]
