Q.Nine

To calculate the total number of matches in a league tournament using the staircase method, we use the given formula.

Here, N is the total number of teams, which is 9.

Substituting the value of N:

Total number of matches = (9(9-1))/2

Total number of matches = (9 × 8)/2

Total number of matches = 72/2

Total number of matches = 36 …

A league tournament, also known as a round-robin tournament, is a competition format where every participant or team plays against every other participant or team a specified number of times. This format is highly valued in sports because it ensures that the best team, based on consistent performance, usually emerges as the winner, as luck plays a lesser role compared to knockout formats. It provides ample opportunities for teams to demonstrate their skill and strategy over multiple games.

The question specifies the "staircase method" for drawing fixtures. While the staircase method is a technique to visually arrange the matches for a league tournament, it does not change the total number of matches or the number of matches each team plays. It's simply one way to create the schedule, where each team is listed, and matches are drawn sequentially as if moving down a staircase.

To calculate the total number of matches in a single league tournament (where each team plays every other team once), a specific formula is used.

Here, N represents the total number of teams participating in the tournament.

Let's calculate the total number of matches for 9 teams:

1. Identify the number of teams (N).

   In this case, N = 9.

2. Substitute the value of N into the formula for the total number of matches.

   Total number of matches = (9(9-1))/2 …