Question

How many byes will be given if 21 team are participating in a knockout tournament?​

Answer 1

Answer:

11

Explanation:

Now, we know that number of teams participating are 21 which is not the power of two. So, number of byes are 11.

Answer 2

Number of byes is 11 if 21 team are participating in a knockout tournament

Given : 21 team are participating in a knockout tournament

To find : The number of byes

Tip :

In a league tournament byes are given when number of teams can not be written in the form $\sf{ {2}^{n} }$

The number of byes

= The next higher number which is in power of two - The number of teams

Solution :

Step 1 of 3 :

Write down the number of teams participating

21 team are participating in a knockout tournament

Step 2 of 3 :

Check whether byes will be given or not

Number of teams = 21

21 can not be written as Power of 2

So byes will be given

Step 3 of 3 :

Find number of byes

The higher number of 21 which can be written as power of 2 is 32

Hence the total number of byes

= The next higher number which is in power of two - The number of teams

= 32 - 21

= 11

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