question_answer

Mention all calculations and steps involved to draw a Knock-out fixture of 19 teams, where 4 teams are to be seeded.

Answer:

Knock-out tournaments: In knock-out tournaments, the teams which get eliminated get automatically from the tournament. Only the winners continue in the competition. It is the fastest method to know about the winner team in the tournament.

Seeding a Team: The sorting of the teams and fitting them in the fixtures, so that the stronger teams do not meet each other in earlier rounds is known as seedings.

Advantage of knock-out tournament:

(i) These are less expensive.

(ii) Helpful in enhancing standard of sports.

(iii) It requires less time to complete the tournament.

(iv) Minimum number of officials are required.

Total number of rounds played in tournament depends upon number of teams participating in tournament.

Drawing a Knock-out fixtures of 19 Teams:

Number of Teams - 19

Total number of Matches \[=N1=191=18\]

Number of teams in upper half \[=\frac{N+1}{2}\]

=\[\frac{19\,\,+\,\,1\,\,}{2}=10\]

Number of teams in lower half \[=\frac{N\,\,-\,\,1}{2}\]

=\[\frac{19\,\,-\,\,1}{2}=9\]

(i) Number of upper half is divided in two parts Q1 and Q2 with 5 teams each.

(ii) Number of lower half is divided in two parts Q3 and Q4 with 5 and 4 teams respectively.

(iii) Number of Byes in Quarter where 5 Teams Participating =\[\frac{5\,\,+\,\,1}{2}=\frac{6}{2}=3\]

(iv) Number of Byes in Quarter where 4 Teams participating (in present case) - All 4 Teams

(v) In such scenario, the match shall be as per the following:

As per above distribution, the groups can be formulated a way that any team gets only one Bye (maximum).