Quant Exam > Quant Questions > There are 6 men and 7 women. In how many ways...
Start Learning for Free
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?
| FREE This question is part of | Download PDF Attempt this Test |
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 .
Free Test
FREE
| Start Free Test |
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.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
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?
Question Description
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?.
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?.
Solutions 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? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of
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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup