Question

Draw a league fixture for 6 teams using the Cyclic Method.

Hint:

For even teams: Rounds = \( n - 1 \). For odd teams: Add a dummy team and apply the cyclic method.

Answer 1

Concept: In a league tournament, each team plays every other team once. The cyclic method is used to generate fixtures by fixing one team and rotating the others in a circular pattern. 
Step 1: Number the Teams Let the teams be: \[ 1, 2, 3, 4, 5, 6 \] Total teams = 6 (even number) Number of rounds = \( n - 1 = 5 \) 
Step 2: Fix One Team Keep Team 1 fixed and rotate the remaining teams clockwise. 
League Fixture Table (Cyclic Method): 

Explanation: 
One team remains fixed. 
Other teams rotate cyclically each round. 
Ensures all teams play each other once.