Question

how many rounds will be played if 19 teams are participating in a knock out tournament ?

Answer 1

Answer:

Rounds are given when the total number of participating teams are not equal to 2^n (^— to the power). Therefore 2^5–19 = 32-19 = 13 byes or rounds must be given.

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Answer 2

The number of rounds played in the knockout tournament is 5.

Given:

Number of teams in the tournament

To find:

How many rounds will be played if 19 teams are participating in a knockout tournament?

Solution:

Calculating the number of rounds in a knock-out tournament

If the number of participants teams is in form of the power of 2 then the number of rounds will be equal to the power of 2

For example, if there are 16 matches, Since 16 = 2⁴

Hence, the number of rounds will equal = 4

If the number of participants teams is not in form of the power of 2 then the number of rounds will equal the next highest power of 2

For example, if there are 15 matches, since 15 can't write as the power of 2, hence we consider the next highest power of 2 i.e 2⁴

Hence, the number of rounds will equal = 4

Here the number of teams = 19

19 can't be written as a power of 2, so take the next highest power of 2 i.e 2⁵  [ ∵ 19 < 2⁵  ]

Hence, the number of rounds = 5

Therefore,

The number of rounds played in the knockout tournament is 5.

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