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Direction: In a family there are seven children. In which A, B and C are male while W, X, Y and Z are female. There is only one carrom board in this family and children want to play. For each game they select a team in which two male children are must. All children 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 teams are possible?
  • a)
    1
  • b)
    2
  • c)
    3
  • d)
    4
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Direction: In a family there are seven children. In which A, B and C a...
Explanation:

To solve this problem, we need to consider the constraints provided and find the number of combinations of teams that can be formed with the three male children.

Given Constraints:
- B cannot play with W
- C cannot play with Z
- W cannot play with Y

Step 1: Identify the male children
From the given information, we know that there are three male children - A, B, and C.

Step 2: Consider the constraints
Now, let's analyze the constraints one by one and see how they affect the team combinations.

Constraint 1: B cannot play with W
Since B cannot play with W, we cannot have a team with B and W together. This means that B can only be paired with A or C.

Constraint 2: C cannot play with Z
Similarly, C cannot play with Z, so C can only be paired with A or B.

Constraint 3: W cannot play with Y
W cannot play with Y, so W can only be paired with A, B, or C.

Step 3: Determine the team combinations
Based on the constraints, we can now determine the possible team combinations:

- B cannot play with W: B can be paired with A or C
- C cannot play with Z: C can be paired with A or B
- W cannot play with Y: W can be paired with A, B, or C

Since we need to select two male children for each team, we have the following possibilities:

1. B and A, C and W
2. B and C, A and W

Therefore, there are two possible combinations of teams when all three males are selected.

Answer: Option B (2)
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Community Answer
Direction: In a family there are seven children. In which A, B and C a...
For four seats, three are fixed A, B and C (males)  it means only one space is left.
so as C is already in team Z cannot be in team.
B is in team then W cannot be in team. so left are X and Y. 
so possible teams are two.
i)  A,B,C,X
ii) A,B,C,Y
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Direction: In a family there are seven children. In which A, B and C are male while W, X, Y and Z are female. There is only one carrom board in this family and children want to play. For each game they select a team in which two male children are must. All children 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 teams are possible?a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer?
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Direction: In a family there are seven children. In which A, B and C are male while W, X, Y and Z are female. There is only one carrom board in this family and children want to play. For each game they select a team in which two male children are must. All children 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 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 Direction: In a family there are seven children. In which A, B and C are male while W, X, Y and Z are female. There is only one carrom board in this family and children want to play. For each game they select a team in which two male children are must. All children 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 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 Direction: In a family there are seven children. In which A, B and C are male while W, X, Y and Z are female. There is only one carrom board in this family and children want to play. For each game they select a team in which two male children are must. All children 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 teams are possible?a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer?.
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