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Argentina had football team of 22 player of which captain is from Brazilian team and goalie from European team. For remaining player they have picked 6 from argentine and 14 from European. Now for a team of 11 they must have goalie and captain so out of 9 now they plan to select 3 from Argentinean and 6 from European. Find out no of methods available for it.
Correct answer is '160600'. Can you explain this answer?
Most Upvoted Answer
Argentina had football team of 22 player of which captain is from Braz...
Key Information:
- Football team: 22 players
- Captain: Brazilian player
- Goalie: European player
- Remaining players: 6 Argentinean, 14 European
- Team of 11 players: Requires a goalie and captain
- Remaining players: 9 (excluding goalie and captain)
- Selection: 3 from Argentinean, 6 from European
Approach:
To find the number of methods available for selecting the players, we need to calculate the combinations of players from each group (Argentinean and European) and multiply them together.
Calculating the Combinations:
We can use the formula for combinations: C(n, r) = n! / (r! * (n-r)!)
- C(n, r): Number of combinations of n items taken r at a time
Selection of Argentinean Players:
- Number of Argentinean players: 6
- Number of players to be selected: 3
- C(6, 3) = 6! / (3! * (6-3)!) = 20
Selection of European Players:
- Number of European players: 14
- Number of players to be selected: 6
- C(14, 6) = 14! / (6! * (14-6)!) = 3003
Selection of Goalie:
- Number of European goalies: 1 (as the goalie is from the European team)
- Number of goalies to be selected: 1
- C(1, 1) = 1
Selection of Captain:
- Number of Brazilian captains: 1 (as the captain is from the Brazilian team)
- Number of captains to be selected: 1
- C(1, 1) = 1
Total Number of Methods:
To calculate the total number of methods, we need to multiply the combinations of each selection together.
- Total methods = Selection of Argentinean Players * Selection of European Players * Selection of Goalie * Selection of Captain
- Total methods = 20 * 3003 * 1 * 1 = 60,060
Correcting the Answer:
The given correct answer is '160600'. However, there seems to be an error as the calculated total methods are 60,060, not 160,600. If the correct answer is indeed '160600', there might be additional information or calculations missing in the given problem statement.
- Football team: 22 players
- Captain: Brazilian player
- Goalie: European player
- Remaining players: 6 Argentinean, 14 European
- Team of 11 players: Requires a goalie and captain
- Remaining players: 9 (excluding goalie and captain)
- Selection: 3 from Argentinean, 6 from European
Approach:
To find the number of methods available for selecting the players, we need to calculate the combinations of players from each group (Argentinean and European) and multiply them together.
Calculating the Combinations:
We can use the formula for combinations: C(n, r) = n! / (r! * (n-r)!)
- C(n, r): Number of combinations of n items taken r at a time
Selection of Argentinean Players:
- Number of Argentinean players: 6
- Number of players to be selected: 3
- C(6, 3) = 6! / (3! * (6-3)!) = 20
Selection of European Players:
- Number of European players: 14
- Number of players to be selected: 6
- C(14, 6) = 14! / (6! * (14-6)!) = 3003
Selection of Goalie:
- Number of European goalies: 1 (as the goalie is from the European team)
- Number of goalies to be selected: 1
- C(1, 1) = 1
Selection of Captain:
- Number of Brazilian captains: 1 (as the captain is from the Brazilian team)
- Number of captains to be selected: 1
- C(1, 1) = 1
Total Number of Methods:
To calculate the total number of methods, we need to multiply the combinations of each selection together.
- Total methods = Selection of Argentinean Players * Selection of European Players * Selection of Goalie * Selection of Captain
- Total methods = 20 * 3003 * 1 * 1 = 60,060
Correcting the Answer:
The given correct answer is '160600'. However, there seems to be an error as the calculated total methods are 60,060, not 160,600. If the correct answer is indeed '160600', there might be additional information or calculations missing in the given problem statement.
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Argentina had football team of 22 player of which captain is from Braz...
160600 (check out for right no. 6C3 * 14C6)
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Argentina had football team of 22 player of which captain is from Brazilian team and goalie from European team. For remaining player they have picked 6 from argentine and 14 from European. Now for a team of 11 they must have goalie and captain so out of 9 now they plan to select 3 from Argentinean and 6 from European. Find out no of methods available for it.Correct answer is '160600'. Can you explain this answer?
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Argentina had football team of 22 player of which captain is from Brazilian team and goalie from European team. For remaining player they have picked 6 from argentine and 14 from European. Now for a team of 11 they must have goalie and captain so out of 9 now they plan to select 3 from Argentinean and 6 from European. Find out no of methods available for it.Correct answer is '160600'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Argentina had football team of 22 player of which captain is from Brazilian team and goalie from European team. For remaining player they have picked 6 from argentine and 14 from European. Now for a team of 11 they must have goalie and captain so out of 9 now they plan to select 3 from Argentinean and 6 from European. Find out no of methods available for it.Correct answer is '160600'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Argentina had football team of 22 player of which captain is from Brazilian team and goalie from European team. For remaining player they have picked 6 from argentine and 14 from European. Now for a team of 11 they must have goalie and captain so out of 9 now they plan to select 3 from Argentinean and 6 from European. Find out no of methods available for it.Correct answer is '160600'. Can you explain this answer?.
Argentina had football team of 22 player of which captain is from Brazilian team and goalie from European team. For remaining player they have picked 6 from argentine and 14 from European. Now for a team of 11 they must have goalie and captain so out of 9 now they plan to select 3 from Argentinean and 6 from European. Find out no of methods available for it.Correct answer is '160600'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Argentina had football team of 22 player of which captain is from Brazilian team and goalie from European team. For remaining player they have picked 6 from argentine and 14 from European. Now for a team of 11 they must have goalie and captain so out of 9 now they plan to select 3 from Argentinean and 6 from European. Find out no of methods available for it.Correct answer is '160600'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Argentina had football team of 22 player of which captain is from Brazilian team and goalie from European team. For remaining player they have picked 6 from argentine and 14 from European. Now for a team of 11 they must have goalie and captain so out of 9 now they plan to select 3 from Argentinean and 6 from European. Find out no of methods available for it.Correct answer is '160600'. Can you explain this answer?.
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