Quant Exam > Quant Questions > From a group of 7 men and 6 women, five perso...
Start Learning for Free
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
- a)624
- b)702
- c)756
- d)812
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
From a group of 7 men and 6 women, five persons are to be selected to ...
View all questions of this test
Most Upvoted Answer
From a group of 7 men and 6 women, five persons are to be selected to ...
Yes, its a permutation and combi ation question.
th question says atleast 3 men that means we can take 3 ,4 ,5 as our variant and among the women it will be 2 ,1 and 0.
(7C3 × 6C2)+(7C4 × 6C1)+(7C5 × 6C0)= 756
th question says atleast 3 men that means we can take 3 ,4 ,5 as our variant and among the women it will be 2 ,1 and 0.
(7C3 × 6C2)+(7C4 × 6C1)+(7C5 × 6C0)= 756
Free Test
FREE
| Start Free Test |
Community Answer
From a group of 7 men and 6 women, five persons are to be selected to ...
Given: 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee.
To find: The number of ways to form a committee.
Approach: We can use the combination formula to solve this problem.
The number of ways to select a committee with at least 3 men would be the sum of the number of ways to select 3, 4, or 5 men and the remaining women.
Number of ways to select a committee with 3 men and 2 women = (7C3) × (6C2) = 35 × 15 = 525
Number of ways to select a committee with 4 men and 1 woman = (7C4) × (6C1) = 35 × 6 = 210
Number of ways to select a committee with 5 men and 0 women = (7C5) × (6C0) = 21 × 1 = 21
The total number of ways to form a committee with at least 3 men = 525 + 210 + 21 = 756.
Therefore, the correct option is (c) 756.
To find: The number of ways to form a committee.
Approach: We can use the combination formula to solve this problem.
The number of ways to select a committee with at least 3 men would be the sum of the number of ways to select 3, 4, or 5 men and the remaining women.
Number of ways to select a committee with 3 men and 2 women = (7C3) × (6C2) = 35 × 15 = 525
Number of ways to select a committee with 4 men and 1 woman = (7C4) × (6C1) = 35 × 6 = 210
Number of ways to select a committee with 5 men and 0 women = (7C5) × (6C0) = 21 × 1 = 21
The total number of ways to form a committee with at least 3 men = 525 + 210 + 21 = 756.
Therefore, the correct option is (c) 756.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?a)624b)702c)756d)812Correct answer is option 'C'. Can you explain this answer?
Question Description
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?a)624b)702c)756d)812Correct answer is option 'C'. 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 From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?a)624b)702c)756d)812Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?a)624b)702c)756d)812Correct answer is option 'C'. Can you explain this answer?.
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?a)624b)702c)756d)812Correct answer is option 'C'. 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 From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?a)624b)702c)756d)812Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?a)624b)702c)756d)812Correct answer is option 'C'. Can you explain this answer?.
Solutions for From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?a)624b)702c)756d)812Correct answer is option 'C'. 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 From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?a)624b)702c)756d)812Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?a)624b)702c)756d)812Correct answer is option 'C'. Can you explain this answer?, a detailed solution for From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?a)624b)702c)756d)812Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?a)624b)702c)756d)812Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?a)624b)702c)756d)812Correct answer is option 'C'. 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