The Staircase method of drawing fixtures is used for the League tournament.

Explanation:
The Staircase method, also known as the Round-Robin tournament, is a format used in sports competitions, particularly in leagues. It is designed to ensure that each team competes against every other team in the tournament.

Here is a detailed explanation of the Staircase method and how it is used in the League tournament:

1. What is the Staircase method?
- The Staircase method is a scheduling format used to organize fixtures in a tournament.
- It ensures that every team participates in a balanced number of matches against all other teams.
- It is called the Staircase method because the fixtures are organized in a pattern that resembles a staircase.

2. How does the Staircase method work?
- In a league tournament, each team competes against all other teams in a round-robin format.
- The number of rounds is equal to the number of teams minus one.
- The fixtures are arranged in a way that each team plays one match in each round.
- The teams are paired up for each round, and the fixtures are scheduled accordingly.

3. Advantages of the Staircase method in the League tournament:
- Fairness: This method ensures that each team has an equal opportunity to compete against all other teams.
- Balanced schedule: Each team plays the same number of matches, reducing any advantage or disadvantage due to scheduling.
- Accuracy: The Staircase method provides a systematic approach to organizing fixtures, minimizing errors and conflicts.

4. Example of the Staircase method in a League tournament:
- Let's consider a league tournament with six teams: A, B, C, D, E, and F.
- In the first round, the fixtures would be:
- A vs B
- C vs D
- E vs F
- In the second round, the fixtures would be:
- A vs C
- B vs D
- E vs F
- The process continues until each team has played against all other teams.

In conclusion, the Staircase method is used for the League tournament. It ensures fairness, balance, and accuracy in scheduling fixtures, allowing each team to compete against all other teams in the tournament.