In the next World Cup of cricket, there will be 12 teams, divided equally into two groups. Teams in each group will play one match against the other teams in their group. From each group, 3 top teams will qualify for the next round. In this round, each team will play against the others once. Four top teams from this round will qualify for the semifinal round, where each team will play against the others once. Two top teams of this round will go to the final round, where they will play the best of three series. The minimum number of matches required to identify the winning team in the next World Cup will beCorrect answer is '53'. Can you explain this answer?

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In the next World Cup of cricket, there will be 12 teams, divided equally into two groups. Teams in each group will play one match against the other teams in their group. From each group, 3 top teams will qualify for the next round. In this round, each team will play against the others once. Four top teams from this round will qualify for the semifinal round, where each team will play against the others once. Two top teams of this round will go to the final round, where they will play the best of three series. The minimum number of matches required to identify the winning team in the next World Cup will be

Correct answer is '53'. Can you explain this answer?

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In the next World Cup of cricket, there will be 12 teams, divided equ...

The Minimum Number of Matches Required to Identify the Winning Team in the Next World Cup

To determine the minimum number of matches required to identify the winning team in the next World Cup, we need to consider the tournament structure and the number of teams involved. Based on the given information, we can break down the calculation into several steps.

Step 1: Group Stage
- There are 12 teams divided equally into two groups, let's call them Group A and Group B.
- Each team in a group will play one match against the other teams in their group.
- Since there are 6 teams in each group, the number of matches in each group can be calculated using the combination formula: C(n, r) = n! / (r!(n-r)!), where n is the total number of teams in the group and r is the number of teams playing in a match.
- In this case, C(6, 2) will give us the number of matches in each group, which is equal to 15.
- Therefore, the total number of matches in the group stage will be 2 * 15 = 30.

Step 2: Next Round
- From each group, 3 top teams will qualify for the next round.
- The number of matches in this round can be calculated using the combination formula again, considering the 6 qualified teams: C(6, 2) = 15.
- Therefore, the total number of matches in the next round will be 15.

Step 3: Semifinal Round
- In this round, 4 top teams from the previous round will qualify.
- The number of matches can be calculated using the combination formula: C(4, 2) = 6.
- Therefore, the total number of matches in the semifinal round will be 6.

Step 4: Final Round
- In this round, the 2 top teams from the semifinal round will go head-to-head in a best-of-three series.
- Since it is a best-of-three series, the minimum number of matches required to determine the winning team is 2.

Total Number of Matches
- Adding up the number of matches from each step, we get: 30 (group stage) + 15 (next round) + 6 (semifinal round) + 2 (final round) = 53.

Therefore, the minimum number of matches required to identify the winning team in the next World Cup will be 53.

Answered by Infinity Academy · View profile

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In the next World Cup of cricket, there will be 12 teams, divided equally into two groups. Teams in each group will play one match against the other teams in their group. From each group, 3 top teams will qualify for the next round. In this round, each team will play against the others once. Four top teams from this round will qualify for the semifinal round, where each team will play against the others once. Two top teams of this round will go to the final round, where they will play the best of three series. The minimum number of matches required to identify the winning team in the next World Cup will beCorrect answer is '53'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In the next World Cup of cricket, there will be 12 teams, divided equally into two groups. Teams in each group will play one match against the other teams in their group. From each group, 3 top teams will qualify for the next round. In this round, each team will play against the others once. Four top teams from this round will qualify for the semifinal round, where each team will play against the others once. Two top teams of this round will go to the final round, where they will play the best of three series. The minimum number of matches required to identify the winning team in the next World Cup will beCorrect answer is '53'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the next World Cup of cricket, there will be 12 teams, divided equally into two groups. Teams in each group will play one match against the other teams in their group. From each group, 3 top teams will qualify for the next round. In this round, each team will play against the others once. Four top teams from this round will qualify for the semifinal round, where each team will play against the others once. Two top teams of this round will go to the final round, where they will play the best of three series. The minimum number of matches required to identify the winning team in the next World Cup will beCorrect answer is '53'. Can you explain this answer?.

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