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A tennis coach is trying to put together a team of four players for the forthcoming tournament. For this 7 players are available: males A, Band C; and females W, X, Y and Z. All players have equal capability and at least 2 males will be there in the team. For a team of four, all players must be able to play with each other. But, B cannot play with W, C cannot play with Z and W cannot play with Y.
Q.If all the three males' are selected, then how many combinations of four member teams are possible?
- a)1
- b)2
- c)3
- d)4
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A tennis coach is trying to put together a team of four players for th...
If male A, B, C are selected, then one more person is needed to make up a four member team.
Since B is selected, W cannot be selected and as C is selected, Z cannot be selected. So the either X or Y has to be chosen. (A,B,C,X) or (A,B,C,Y) . So these two only can be formed.
Since B is selected, W cannot be selected and as C is selected, Z cannot be selected. So the either X or Y has to be chosen. (A,B,C,X) or (A,B,C,Y) . So these two only can be formed.
Most Upvoted Answer
A tennis coach is trying to put together a team of four players for th...
Analysis:
To solve this problem, we need to consider the given conditions and constraints to determine the number of possible combinations. Let's break down the problem step by step.
Step 1: Identifying the available players:
We have a total of 7 players available for selection:
- Males: A, B, C
- Females: W, X, Y, Z
Step 2: Understanding the constraints:
- At least 2 males need to be selected, which means we can select 2 or 3 males.
- There are certain combinations that are not possible due to the restrictions:
- B cannot play with W
- C cannot play with Z
- W cannot play with Y
Step 3: Evaluating the possible combinations:
Let's consider the two scenarios:
Scenario 1: Selecting 2 males:
- We have to select 2 males from the given 3 options (A, B, C).
- Since B and C cannot play with certain females, we need to analyze the possibilities for each male:
- If we select A, there are no restrictions. So, we have 4 options for the second player (W, X, Y, Z).
- If we select B, we cannot select W. So, we have 3 options for the second player (X, Y, Z).
- If we select C, we cannot select Z. So, we have 3 options for the second player (W, X, Y).
- Therefore, the total number of combinations when selecting 2 males is: 1 (A) * 4 (options for the second player) = 4.
Scenario 2: Selecting all 3 males:
- Since all 3 males need to be selected, we need to analyze the possibilities for the females:
- B cannot play with W, so we cannot select B and W together.
- C cannot play with Z, so we cannot select C and Z together.
- W cannot play with Y, so we cannot select W and Y together.
- Therefore, it is not possible to form a team of 4 members with all 3 males.
Conclusion:
The number of combinations of four-member teams possible when all three males are selected is 0. Therefore, the correct answer is option 'B' (2).
To solve this problem, we need to consider the given conditions and constraints to determine the number of possible combinations. Let's break down the problem step by step.
Step 1: Identifying the available players:
We have a total of 7 players available for selection:
- Males: A, B, C
- Females: W, X, Y, Z
Step 2: Understanding the constraints:
- At least 2 males need to be selected, which means we can select 2 or 3 males.
- There are certain combinations that are not possible due to the restrictions:
- B cannot play with W
- C cannot play with Z
- W cannot play with Y
Step 3: Evaluating the possible combinations:
Let's consider the two scenarios:
Scenario 1: Selecting 2 males:
- We have to select 2 males from the given 3 options (A, B, C).
- Since B and C cannot play with certain females, we need to analyze the possibilities for each male:
- If we select A, there are no restrictions. So, we have 4 options for the second player (W, X, Y, Z).
- If we select B, we cannot select W. So, we have 3 options for the second player (X, Y, Z).
- If we select C, we cannot select Z. So, we have 3 options for the second player (W, X, Y).
- Therefore, the total number of combinations when selecting 2 males is: 1 (A) * 4 (options for the second player) = 4.
Scenario 2: Selecting all 3 males:
- Since all 3 males need to be selected, we need to analyze the possibilities for the females:
- B cannot play with W, so we cannot select B and W together.
- C cannot play with Z, so we cannot select C and Z together.
- W cannot play with Y, so we cannot select W and Y together.
- Therefore, it is not possible to form a team of 4 members with all 3 males.
Conclusion:
The number of combinations of four-member teams possible when all three males are selected is 0. Therefore, the correct answer is option 'B' (2).
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A tennis coach is trying to put together a team of four players for the forthcoming tournament. For this 7 players are available: males A, Band C; and females W, X, Y and Z. All players have equal capability and at least 2 males will be there in the team. For a team of four, all players must be able to play with each other. But, B cannot play with W, C cannot play with Z and W cannot play with Y.Q.If all the three males' are selected, then how many combinations of four member teams are possible?a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer?
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A tennis coach is trying to put together a team of four players for the forthcoming tournament. For this 7 players are available: males A, Band C; and females W, X, Y and Z. All players have equal capability and at least 2 males will be there in the team. For a team of four, all players must be able to play with each other. But, B cannot play with W, C cannot play with Z and W cannot play with Y.Q.If all the three males' are selected, then how many combinations of four member teams are possible?a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A tennis coach is trying to put together a team of four players for the forthcoming tournament. For this 7 players are available: males A, Band C; and females W, X, Y and Z. All players have equal capability and at least 2 males will be there in the team. For a team of four, all players must be able to play with each other. But, B cannot play with W, C cannot play with Z and W cannot play with Y.Q.If all the three males' are selected, then how many combinations of four member teams are possible?a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tennis coach is trying to put together a team of four players for the forthcoming tournament. For this 7 players are available: males A, Band C; and females W, X, Y and Z. All players have equal capability and at least 2 males will be there in the team. For a team of four, all players must be able to play with each other. But, B cannot play with W, C cannot play with Z and W cannot play with Y.Q.If all the three males' are selected, then how many combinations of four member teams are possible?a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer?.
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