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There are 6 men and 7 women. In how many ways a committee of 4 members can be made such that a particular man is always to be excluded?
- a)280
- b)420
- c)220
- d)495
- e)460
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
There are 6 men and 7 women. In how many ways a committee of 4 members...
D) 495
Explanation: There are total 13 people, a particular man is to be excluded, so now 12 people are left to chosen from and 4 members to be chosen. So ways are 12C4 .
Explanation: There are total 13 people, a particular man is to be excluded, so now 12 people are left to chosen from and 4 members to be chosen. So ways are 12C4 .
Most Upvoted Answer
There are 6 men and 7 women. In how many ways a committee of 4 members...
D) 495
Explanation: There are total 13 people, a particular man is to be excluded, so now 12 people are left to chosen from and 4 members to be chosen. So ways are 12C4 .
Explanation: There are total 13 people, a particular man is to be excluded, so now 12 people are left to chosen from and 4 members to be chosen. So ways are 12C4 .
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Community Answer
There are 6 men and 7 women. In how many ways a committee of 4 members...
Given:
There are 6 men and 7 women.
A committee of 4 members has to be selected.
A particular man is always to be excluded.
To find: Number of ways in which the committee can be formed.
Solution:
Total number of ways in which the committee of 4 members can be formed from 13 people = 13C4 = (13*12*11*10)/(4*3*2*1) = 715
But we have to exclude the particular man from the committee.
So, we have to find the number of committees that can be formed without him.
Number of ways in which a committee of 4 members can be formed from the remaining 12 people (excluding that particular man) = 12C4 = (12*11*10*9)/(4*3*2*1) = 495
Therefore, the number of ways in which a committee of 4 members can be formed such that a particular man is always to be excluded = Total number of ways - Number of ways in which a committee of 4 members can be formed without him = 715 - 495 = 220
Hence, the correct option is (c) 220.
There are 6 men and 7 women.
A committee of 4 members has to be selected.
A particular man is always to be excluded.
To find: Number of ways in which the committee can be formed.
Solution:
Total number of ways in which the committee of 4 members can be formed from 13 people = 13C4 = (13*12*11*10)/(4*3*2*1) = 715
But we have to exclude the particular man from the committee.
So, we have to find the number of committees that can be formed without him.
Number of ways in which a committee of 4 members can be formed from the remaining 12 people (excluding that particular man) = 12C4 = (12*11*10*9)/(4*3*2*1) = 495
Therefore, the number of ways in which a committee of 4 members can be formed such that a particular man is always to be excluded = Total number of ways - Number of ways in which a committee of 4 members can be formed without him = 715 - 495 = 220
Hence, the correct option is (c) 220.
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There are 6 men and 7 women. In how many ways a committee of 4 members can be made such that a particular man is always to be excluded?a)280b)420c)220d)495e)460Correct answer is option 'D'. Can you explain this answer?
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There are 6 men and 7 women. In how many ways a committee of 4 members can be made such that a particular man is always to be excluded?a)280b)420c)220d)495e)460Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about There are 6 men and 7 women. In how many ways a committee of 4 members can be made such that a particular man is always to be excluded?a)280b)420c)220d)495e)460Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 6 men and 7 women. In how many ways a committee of 4 members can be made such that a particular man is always to be excluded?a)280b)420c)220d)495e)460Correct answer is option 'D'. Can you explain this answer?.
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