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Show a league tournament fixture consisting of nine teams by using the Cyclic Method. - Physical Education (Theory)

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Question

Show a league tournament fixture consisting of nine teams by using the Cyclic Method.

Sum

Solution

Cyclic fixture of nine teams

Number of Teams = 9

Number of Rounds = 9

Number of Matches = `(N(N - 1))/2`

= `(9(9 - 1))/2`

= 36

Round
I
Round
II
Round
III
Round
IV
Round
V
Round
VI
Round
VII
Round
VIII
Round
IX
9 ↔ Bye 8 ↔ Bye 7 ↔ Bye 6 ↔ Bye 5 ↔ Bye 4 ↔ Bye 3 ↔ Bye 2 ↔ Bye 1 ↔ Bye
8 ↔ 1 7 ↔ 9 6 ↔ 8 5 ↔ 7 4 ↔ 6 3 ↔ 5 2 ↔ 4 1 ↔ 3 9 ↔ 2
7 ↔ 2 6 ↔ 1 5 ↔ 9 4 ↔ 8 3 ↔ 7 2 ↔ 6 1 ↔ 5 9 ↔ 4 8 ↔ 3
6 ↔ 3 5 ↔ 2 4 ↔ 1 3 ↔ 9 2 ↔ 8 1 ↔ 7 9 ↔ 6 8 ↔ 5 7 ↔ 4
5 ↔ 4 4 ↔ 3 3 ↔ 2 2 ↔ 1 1 ↔ 9 9 ↔ 8 8 ↔ 7 7 ↔ 6 6 ↔ 5
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