Understanding Knockout Tournaments
A knockout tournament, also known as a single-elimination tournament, is a competition format where the loser of each match is immediately eliminated from the tournament. The winner proceeds to the next round until only one competitor remains undefeated, who is declared the champion.
Calculating Minimum Matches
In any knockout tournament, regardless of the number of participants or rounds, there is a straightforward way to determine the minimum number of matches required. Each match results in the elimination of exactly one player.
To determine a single winner from a starting pool of competitors, all other competitors must be eliminated. If there are \(N\) players at the start of the tournament, there must be \(N - 1\) losers to end up with just one winner.
Since each match produces exactly one loser, the total number of matches needed is equal to the number of players who need to be eliminated.
Applying to the Badminton Tournament
In this specific badminton tournament:
- Number of players (\(N\)): 57
- Number of players to be eliminated: \(N - 1\)
Therefore, the calculation is:
Minimum number of matches = Number of players - 1
Minimum number of matches = \(57 - 1\)
Minimum number of matches = \(56\)
This means that a minimum of 56 matches must be played to determine the single winner from the 57 participants in the badminton knockout tournament.
Similar Questions
If A denotes '+', B denotes '×', C denotes '-', and D denotes '÷', then what will be the value of the following expression?
56 A 102 C 30 D 6 B 7 = ?
Select the correct combination of mathematical signs to replace the * signs and to balance the given equation.
52 * 4 * 38 * 5 * 5 * 0
If A denotes ‘+’, B denotes ‘×’, C denotes ‘−’, and D denotes ‘÷’, then what will come in place of ‘?’ in the following equation?
146 A 4 B 2 = 73 B ? A 8
Which two numbers from amongst the given options should be interchanged to make the given equation correct?
(63 ÷ 9 + 17) ÷ 11 = 15 – 195 ÷ 17 – 2
Which two numbers from amongst the given options should be interchanged to make the given equation correct?
(36 ÷ 2) × 5 – 15 × 4 = 20 − 260 ÷ (5 × 3 + 2)
In this question, the statement is followed by two conclusions. Which of the two conclusions is/are true?
Statement: P > D < R > A = X ≤ P = T
Conclusions:
I. A = T
II. R > X
If G = E < D < R and E = Y > K > Q, then which of the following options is NOT correct?
Which two signs and two numbers should be interchanged in the following equation to make it correct?
14 × 8 + 64 ÷ 32 – 2 = 88
If ‘A’ denotes ‘addition’, ‘B’ denotes ‘multiplication‘, ‘C’ denotes ‘subtraction’ and ‘D’ denotes ‘division’, then what will be the value of the following expression?
55 A 5 B (7 A 4) C 75 D (25 D 5) = ?
Which two signs should be interchanged to make the following equation correct?
38 ÷ 19 × 11 - 357 + 17 = 226
Important Questions from Logical Puzzle
If ‘A’ denotes ‘addition’, ‘B’ denotes ‘subtraction’, ‘C’ denotes ‘multiplication’ and ‘D’ denotes ‘division’, then what will be the value of the following expression?
6 C (57 B 8) D 7 B 32 A 9
If, 5 + 7 = 47, 3 + 8 = 35, 9 + 2 = 29 then 7 + 4 = ?
Which two signs need to be interchanged to make the following equation correct?
63 ÷ 21 – 7 + 28 × 3 = 144
If ‘–’ stands for ‘÷’, ‘+’ stands for ‘×’, ‘÷’ stands for ‘–’ and ‘×’ stands for ‘+’, then 80 – 20 + 10 ÷ 8 × 10 is equal to:
Which two signs need to be interchanged to make the given equation correct?
3 ÷ 2 - 4 × 5 + 5 = 1
