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In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
- a)1
- b)126
- c)63
- d)64
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In how many ways can a group of 5 men and 2 women be made out of a tot...
Required number of ways = (7C5*3C2) = (7C2*3C1) = 63
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In how many ways can a group of 5 men and 2 women be made out of a tot...
To solve this problem, we can use the combination formula.
The number of ways to choose a group of 5 men from a total of 7 men is:
C(7,5) = 7!/(5!2!) = 21
The number of ways to choose a group of 2 women from a total of 3 women is:
C(3,2) = 3!/(2!1!) = 3
To find the total number of ways to choose a group of 5 men and 2 women from a total of 7 men and 3 women, we can multiply the two values we just calculated:
21 x 3 = 63
Therefore, the answer is option C: 63.
The number of ways to choose a group of 5 men from a total of 7 men is:
C(7,5) = 7!/(5!2!) = 21
The number of ways to choose a group of 2 women from a total of 3 women is:
C(3,2) = 3!/(2!1!) = 3
To find the total number of ways to choose a group of 5 men and 2 women from a total of 7 men and 3 women, we can multiply the two values we just calculated:
21 x 3 = 63
Therefore, the answer is option C: 63.
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In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?a)1b)126c)63d)64Correct answer is option 'C'. Can you explain this answer?
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In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?a)1b)126c)63d)64Correct answer is option 'C'. 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 In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?a)1b)126c)63d)64Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?a)1b)126c)63d)64Correct answer is option 'C'. Can you explain this answer?.
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?a)1b)126c)63d)64Correct answer is option 'C'. 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 In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?a)1b)126c)63d)64Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?a)1b)126c)63d)64Correct answer is option 'C'. Can you explain this answer?.
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