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 '+' means 'divided by', '-' means 'add', '×' means 'minus' and '÷' means 'multiplied by', then what will be the value of the following expression:
[{(18 × 16) - (5 ÷ 2)} + (5 - 1)] ÷ 1
Which two symbols from amongst the given options should be interchanged to make the given equation correct?
(35 – 2) × 3 = (56 × 8 ÷ 3 + 100) × 11
If A denotes ‘+’, B denotes ‘×’, C denotes ‘−’, and D denotes ‘÷’, then what will come in place of ‘?’ in the following equation?
(9 A 9 C 55 D 5) B ? = 10 B 3 A 5
If ‘÷’ means ‘ + ’, ‘ - ‘ means ‘÷’, ‘×’ means ‘ - ‘, and ‘ + ’ mean ‘×’ then find the value of
(24 – 8 ÷ 6 + 4 × 7)/ (8 + 3 × 19)If ‘A’ is replace by ‘+’; if ‘B’ is replace by ‘-‘; ‘C’ is replaced by ‘÷’; and ‘D’ replaced by ‘×’, find the value of the following equation.
15A25B35C5D7If ‘A’ is replaced by ‘+’ if ‘B’ is replaced by ‘-‘; ‘C’ is replaced by ‘ ÷ ’ and ‘D’ replaced by ‘×’ find the value of the following equation.
15A22B42C21D27Find out the two signs to be interchanged for making following equation correct.
18 – 2 × 7 ÷ 6 + 10 = 67Select the correct set of symbols which will fit in the given equation?
8 0 3 9 = 35If T > S > K = Y > E = L < V = W, then which of the following options is NOT correct?
Select the correct combination of the mathematical signs that can be filled to balance the following equation:
12__4__2__2__5__3
Important Questions from Logical Puzzle
Seven persons P, Q, R, S, T, U and V like different watches namely W1, W2, W3, W4, W5, W6 and W7 (not necessarily in the same order). P and R do not like odd numbered watch. T likes W5. U does not like W2 or W3 or W6 or W7. P likes prime numbered watch. Q likes W4. S likes W2 or W7. Which of the following statement(s) is/are correct ?
I. S likes W7.
II. R likes W2.
III. U likes W1.
IV. V likes W3.
If ‘+’ means ‘×’, ‘×’ means ‘÷’, ‘÷’ means ‘–’ and ‘–’ means ‘+’, then
16 + 18 × 3 ÷ 6 = ?
In a certain code language, ‘Today is last match’ is written as ‘Sa Te Mo Pt’, ‘Last king like your team’ is written as ‘De Ra Mo Lo Zs’, ‘Our team won today match’ is written as ‘Te Ra Pt Ae We’. What is the code for ‘Our won is Last’ in that code language?
In a certain code language, ‘LETTER’ is written as ‘ZLZYIO’. What is the code for ‘ACTION’ in that code language?
If A denotes ‘+’, B denotes ‘×’, C denotes ‘-’, and D denotes ‘÷’, then what will come in place of ‘?’ in the following equation?
34 A 15 B 3 C 11 B 2 A (51 D 17) = ?
