Quant Exam > Quant Questions > In how many ways a committee of 5 can be chos...
Start Learning for Free
In how many ways a committee of 5 can be chosen from 9 candidates?
- a)178
- b)126
- c)292
- d)268
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
In how many ways a committee of 5 can be chosen from 9 candidates?a)17...
Most Upvoted Answer
In how many ways a committee of 5 can be chosen from 9 candidates?a)17...
To determine the number of ways a committee of 5 can be chosen from 9 candidates, we can use the concept of combinations.
Combinations:
Combinations are a way to calculate the number of ways to choose objects from a larger set without considering the order in which they are chosen. The formula for combinations is given by:
C(n, r) = n! / (r!(n-r)!)
Where C(n, r) represents the number of combinations of n objects taken r at a time, and ! denotes the factorial function.
Explanation:
In this case, we have 9 candidates from which we need to choose a committee of 5. Therefore, we can calculate the number of ways to choose the committee using the combination formula as follows:
C(9, 5) = 9! / (5!(9-5)!)
Simplifying the equation:
C(9, 5) = (9 * 8 * 7 * 6 * 5!) / (5! * 4 * 3 * 2 * 1)
The 5! terms in the numerator and denominator cancel out:
C(9, 5) = (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1)
C(9, 5) = 9 * 2 * 7
C(9, 5) = 126
Therefore, there are 126 ways to choose a committee of 5 from 9 candidates.
Answer:
The correct answer is option B) 126.
Combinations:
Combinations are a way to calculate the number of ways to choose objects from a larger set without considering the order in which they are chosen. The formula for combinations is given by:
C(n, r) = n! / (r!(n-r)!)
Where C(n, r) represents the number of combinations of n objects taken r at a time, and ! denotes the factorial function.
Explanation:
In this case, we have 9 candidates from which we need to choose a committee of 5. Therefore, we can calculate the number of ways to choose the committee using the combination formula as follows:
C(9, 5) = 9! / (5!(9-5)!)
Simplifying the equation:
C(9, 5) = (9 * 8 * 7 * 6 * 5!) / (5! * 4 * 3 * 2 * 1)
The 5! terms in the numerator and denominator cancel out:
C(9, 5) = (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1)
C(9, 5) = 9 * 2 * 7
C(9, 5) = 126
Therefore, there are 126 ways to choose a committee of 5 from 9 candidates.
Answer:
The correct answer is option B) 126.
|
Explore Courses for Quant exam
|
|
In how many ways a committee of 5 can be chosen from 9 candidates?a)178b)126c)292d)268e)None of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
In how many ways a committee of 5 can be chosen from 9 candidates?a)178b)126c)292d)268e)None of theseCorrect answer is option 'B'. 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 In how many ways a committee of 5 can be chosen from 9 candidates?a)178b)126c)292d)268e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways a committee of 5 can be chosen from 9 candidates?a)178b)126c)292d)268e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
In how many ways a committee of 5 can be chosen from 9 candidates?a)178b)126c)292d)268e)None of theseCorrect answer is option 'B'. 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 In how many ways a committee of 5 can be chosen from 9 candidates?a)178b)126c)292d)268e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways a committee of 5 can be chosen from 9 candidates?a)178b)126c)292d)268e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for In how many ways a committee of 5 can be chosen from 9 candidates?a)178b)126c)292d)268e)None of theseCorrect answer is option 'B'. 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 In how many ways a committee of 5 can be chosen from 9 candidates?a)178b)126c)292d)268e)None of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In how many ways a committee of 5 can be chosen from 9 candidates?a)178b)126c)292d)268e)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for In how many ways a committee of 5 can be chosen from 9 candidates?a)178b)126c)292d)268e)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of In how many ways a committee of 5 can be chosen from 9 candidates?a)178b)126c)292d)268e)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In how many ways a committee of 5 can be chosen from 9 candidates?a)178b)126c)292d)268e)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup