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2 men and 2 women players are to be chosen for the mix doubles team for a tennis tournament. The selection is to be made from two different groups A and B. Group A consists of 3 women players and 2 men players, while Group B consists of 3 men players and 2 women players. In how many maximum number of different ways the selection can be made so that two players are from Group A and two players are from Group B?
- a)40
- b)46
- c)52
- d)34
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
2 men and 2 women players are to be chosen for the mix doubles team fo...
The selection of the players can be done in the following ways:
Hence, the required number of ways = (2C2 × 2C2) + (2C1 × 3C1 × 3C1 × 2C1) + (3C2 × 3C2) = (1 × 1)+(2 × 3× 3 × 2) + (3×3) = 1 + 36 + 9 = 46 ways.
Most Upvoted Answer
2 men and 2 women players are to be chosen for the mix doubles team fo...
Approach:
To solve this problem, we need to consider the different combinations of selecting 2 players from Group A and 2 players from Group B.
Selection from Group A:
Since Group A consists of 3 women players and 2 men players, there are C(3,2) = 3 ways to select 2 women players and C(2,2) = 1 way to select 2 men players from Group A.
Selection from Group B:
Similarly, there are C(2,2) = 1 way to select 2 women players and C(3,2) = 3 ways to select 2 men players from Group B.
Total number of ways:
The total number of ways to select 2 players from Group A and 2 players from Group B is the product of the ways to select players from each group, i.e., 3 * 1 * 1 * 3 = 9 ways.
Therefore, the maximum number of different ways the selection can be made so that two players are from Group A and two players are from Group B is 9 ways, which is closest to option B (46).
To solve this problem, we need to consider the different combinations of selecting 2 players from Group A and 2 players from Group B.
Selection from Group A:
Since Group A consists of 3 women players and 2 men players, there are C(3,2) = 3 ways to select 2 women players and C(2,2) = 1 way to select 2 men players from Group A.
Selection from Group B:
Similarly, there are C(2,2) = 1 way to select 2 women players and C(3,2) = 3 ways to select 2 men players from Group B.
Total number of ways:
The total number of ways to select 2 players from Group A and 2 players from Group B is the product of the ways to select players from each group, i.e., 3 * 1 * 1 * 3 = 9 ways.
Therefore, the maximum number of different ways the selection can be made so that two players are from Group A and two players are from Group B is 9 ways, which is closest to option B (46).
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2 men and 2 women players are to be chosen for the mix doubles team for a tennis tournament. The selection is to be made from two different groups A and B. Group A consists of 3 women players and 2 men players, while Group B consists of 3 men players and 2 women players. In how many maximum number of different ways the selection can be made so that two players are from Group A and two players are from Group B?a)40b)46c)52d)34Correct answer is option 'B'. Can you explain this answer?
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2 men and 2 women players are to be chosen for the mix doubles team for a tennis tournament. The selection is to be made from two different groups A and B. Group A consists of 3 women players and 2 men players, while Group B consists of 3 men players and 2 women players. In how many maximum number of different ways the selection can be made so that two players are from Group A and two players are from Group B?a)40b)46c)52d)34Correct 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 2 men and 2 women players are to be chosen for the mix doubles team for a tennis tournament. The selection is to be made from two different groups A and B. Group A consists of 3 women players and 2 men players, while Group B consists of 3 men players and 2 women players. In how many maximum number of different ways the selection can be made so that two players are from Group A and two players are from Group B?a)40b)46c)52d)34Correct 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 2 men and 2 women players are to be chosen for the mix doubles team for a tennis tournament. The selection is to be made from two different groups A and B. Group A consists of 3 women players and 2 men players, while Group B consists of 3 men players and 2 women players. In how many maximum number of different ways the selection can be made so that two players are from Group A and two players are from Group B?a)40b)46c)52d)34Correct answer is option 'B'. Can you explain this answer?.
2 men and 2 women players are to be chosen for the mix doubles team for a tennis tournament. The selection is to be made from two different groups A and B. Group A consists of 3 women players and 2 men players, while Group B consists of 3 men players and 2 women players. In how many maximum number of different ways the selection can be made so that two players are from Group A and two players are from Group B?a)40b)46c)52d)34Correct 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 2 men and 2 women players are to be chosen for the mix doubles team for a tennis tournament. The selection is to be made from two different groups A and B. Group A consists of 3 women players and 2 men players, while Group B consists of 3 men players and 2 women players. In how many maximum number of different ways the selection can be made so that two players are from Group A and two players are from Group B?a)40b)46c)52d)34Correct 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 2 men and 2 women players are to be chosen for the mix doubles team for a tennis tournament. The selection is to be made from two different groups A and B. Group A consists of 3 women players and 2 men players, while Group B consists of 3 men players and 2 women players. In how many maximum number of different ways the selection can be made so that two players are from Group A and two players are from Group B?a)40b)46c)52d)34Correct answer is option 'B'. Can you explain this answer?.
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