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In a single knockout tournament how many byes need to be given if 17 teams are participating?
- a)17
- b)16
- c)15
- d)14
Correct answer is option 'C'. Can you explain this answer?
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In a single knockout tournament how many byes need to be given if 17 t...
Number of Teams: 17
Number of Byes: ?
In a single knockout tournament, the number of byes needed can be determined by finding the nearest power of 2 that is greater than the number of teams participating.
Finding the Next Power of 2:
To find the next power of 2, we start by determining the exponent that will result in a power of 2 greater than 17. We can do this by taking the logarithm base 2 of 17 and rounding up to the nearest whole number.
Log base 2 of 17 ≈ 4.087
Rounded up to the nearest whole number = 5
Calculating the Number of Teams for the Next Power of 2:
Now that we have the exponent, we can calculate the number of teams for the next power of 2 by raising 2 to the power of 5.
2^5 = 32
Determining the Number of Byes:
To determine the number of byes, we subtract the number of teams participating from the number of teams for the next power of 2.
32 - 17 = 15
Therefore, in a single knockout tournament with 17 teams participating, 15 byes need to be given.
Number of Byes: ?
In a single knockout tournament, the number of byes needed can be determined by finding the nearest power of 2 that is greater than the number of teams participating.
Finding the Next Power of 2:
To find the next power of 2, we start by determining the exponent that will result in a power of 2 greater than 17. We can do this by taking the logarithm base 2 of 17 and rounding up to the nearest whole number.
Log base 2 of 17 ≈ 4.087
Rounded up to the nearest whole number = 5
Calculating the Number of Teams for the Next Power of 2:
Now that we have the exponent, we can calculate the number of teams for the next power of 2 by raising 2 to the power of 5.
2^5 = 32
Determining the Number of Byes:
To determine the number of byes, we subtract the number of teams participating from the number of teams for the next power of 2.
32 - 17 = 15
Therefore, in a single knockout tournament with 17 teams participating, 15 byes need to be given.
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In a single knockout tournament how many byes need to be given if 17 t...
In a single knockout tournament, if 17 teams are participating, 15 byes need to be given. This is to accommodate the odd number of teams and ensure that the tournament progresses smoothly.
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In a single knockout tournament how many byes need to be given if 17 teams are participating?a)17b)16c)15d)14Correct answer is option 'C'. Can you explain this answer?
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