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Draw a league fixture for eight teams according to cyclic method. - Physical Education (Theory)

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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]

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Rachhpal Singh Brar, Jagdish Bains and Anju Pathak Physical Education [English] Class 12 ISC
Chapter 4 Competitions and Tournaments
Questions | Q 1. b. | Page 104
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