CBSE BoardEnglish MediumSTD 12 CommercePhysical EducationPlanning In Sports5 Marks
Question
Explain the cyclic method of league tournament.
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Answer
Cyclic Method: In the cyclic method, if the number of teams is in even number, team number 1 is fixed on the top of the right hand side and then move other team numbers are in ascending order consecutively downward and then moves upward on the left side. If the number of teams is in odd number, the bye is fixed on the top of the right side as seen in the given below. The rest of the procedure remains the same. Teams are rotated in the clockwise direction. If the number of teams is in even number, the number of rounds will be (N-1). On the other hand, if the number of teams is in odd number, the number of rounds will remain the same, that is, equal to the number of teams. Example. 'Draw a fixture of 6 teams on league basis according to the cyclic method. Solution: Total number of teams = 6 Total number of matches $=\frac{\text{n}(\text{N-1})}{2}=\frac{6(6-1)}{2}$
$\frac{6(5)}{2}=\frac{30}{2}=15\ \text{matches}$
Number of rounds = N - 1 = 6 - 1 =5 rounds
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