Question

Physical Education -draw a fixture of 22 on knockout basis with showing teams in each quarter

Answer 1

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Answer 2

Answer:

There will be a total of $21$ matches in the tournament and $5$ rounds will be played. There will be $6$ teams in the $1^{st}$ and $3^{rd}$ quarter and $5$ teams in the $2^{nd}$ and $4^{th}$ quarter.

The fixtures are shown in the image attached.

Things to know:

In a tournament having $22$ teams there will be some byes as the matches won't be equal and in a uniform format.

The total number of matches will be $N-1=22-1=21$ matches

The number of teams in the upper half will be $\frac{N}{2}=\frac{22}{2}=11$ teams

The number of teams in the lower half will be $\frac{N}{2}=\frac{22}{2}=11$ teams

The total number of byes will be:

Next highest power of $2 -$the total number of teams

$32-22=10$ byes

The number of byes in the upper half will be $\frac{total number of byes}{2} =\frac{10}{2}=5$

The number of byes in the lower half will be $\frac{total number of byes}{2} =\frac{10}{2}=5$

The total number of rounds will be $=2.2.2.2.2=5$ rounds

Number of teams in each quarter

First quarter $6$ teams

Second quarter $5$ teams

Third quarter $6$ teams

Fourth quarter $5$ teams

Total number of byes in each quarter

First quarter $2$ byes

Second quarter $3$ byes

Third quarter $2$ byes

Fourth quarter $3$ byes

Now, the fixtures can be drawn

What is a knockout tournament:

https://brainly.in/question/23573928

How are byes given in a knockout tournament:

https://brainly.in/question/4219704