Physical and Health Education: Class 11 (Part 10) — Chapter 10: Tournaments and Competitions

• Knock-out or Elimination Tournament: Teams are eliminated after a defeat (e.g., Single Knock-out, Consolation, Double Knock-out).
• League or Round Robin Tournament: Every team plays against other teams (e.g., Single League, Double League).
• Combination Tournament: Matches played on a group or zonal basis (e.g., Knock-out cum Knock-out, Knock-out cum League).
• Challenge Tournament: Used for individual or dual games (e.g., Ladder, Pyramid).

The total number of matches is calculated using the formula:

Where $N$ is the total number of participating teams. If the number of teams is not a power of 2, byes are given in the first round to balance the bracket. The number of byes is determined by subtracting $N$ from the next higher power of 2.

For dividing teams into halves:

• If $N$ is even: $$\text{Upper Half} = \frac{N}{2}$$, $$\text{Lower Half} = \frac{N}{2}$$
• If $N$ is odd: $$\text{Upper Half} = \frac{N + 1}{2}$$, $$\text{Lower Half} = \frac{N - 1}{2}$$

For distributing byes ($N_b$) when odd:

• $$\text{Byes in Upper Half} = \frac{N_b - 1}{2}$$
• $$\text{Byes in Lower Half} = \frac{N_b + 1}{2}$$

When the number of teams is large, they are divided into four quarters according to the following rules:

Where $Q$ is the quotient.

Seeding is the process of placing strong teams in the fixture so they do not meet in the early rounds. In special seeding, top-ranked players or teams play directly at the Quarter Finals or Semifinals stage.

Consolation Tournaments give defeated teams another chance to play. In Type I, only teams defeated in their first match play. In Type II, every loser of the regular rounds gets a chance. The total matches in Type II is calculated as:

In a Double Knock-out Tournament, a team must be defeated twice to be eliminated.

This specialized elimination method is designed to accurately decide the true first, second, and third-place winners of a tournament.

• Single League Matches: $$\text{Total Matches} = \frac{N(N - 1)}{2}$$
• Double League Matches: $$\text{Total Matches} = N(N - 1)$$

• Cyclic Method: One team is fixed (or a "Bye" if $N$ is odd), and other teams rotate clockwise.
• Tabular Method: Fixtures are entered inside a grid of squares.
• Staircase Method: Fixtures are arranged in a steps-like structure. It does not indicate rounds easily.

Winners are decided by points: Win = 2 points, Loss = 0 points, Draw = 1 point. Ties are resolved using international federation guidelines.

Used for zonal or group-level matches. Common formats include:

• Knock-out cum Knock-out
• Knock-out cum League
• League cum League
• League cum Knock-out

Commonly used for individual sports like Badminton, Squash, and Table Tennis. They are played without a fixed schedule over a specified period.

• Ladder Tournament: Players can challenge those immediately above them on the ladder.
• Pyramid Tournament: A modified ladder tournament where players are arranged in a pyramid shape.

• Ancient Olympic Games: Started in 776 B.C. and held every four years until terminated in 394 A.D.
• Modern Olympic Games: Founded by Baron Pierre de Coubertin in 1896 in Athens.
• Paralympic Games: International multi-sport events for athletes with physical, visual, or intellectual impairments, governed by the IPC.
• Commonwealth Games: Founded by Melville Marks Robinson in 1930 in Hamilton, Canada.
• Asian Games: Also known as Asiad, first held in New Delhi, India in 1951.

• National Games: Started in 1924 as Indian Olympic Games in Lahore; renamed National Games in 1940.
• National Championships: Conducted annually by National Sports Associations across various age categories.
• Inter University Tournaments: Started in 1941 to promote sports among university students.
• SGFI Games: Organized by the School Games Federation of India (formed in 1954) for school students under 14, 17, and 19.