CA Foundation Exam > CA Foundation Questions > In your office 4 posts have fallen vacant. In...
Start Learning for Free
In your office 4 posts have fallen vacant. In how many ways a selection out of 31 candidates can be made if one candidate is always included? Would your answer be different if one candidate is always excluded?
- a)30C3
- b)30C4
- c)31C3
- d)31C4
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In your office 4 posts have fallen vacant. In how many ways a selectio...
Solution:
We can solve this problem using the combination formula.
a) If one candidate is always included, then we need to select 3 candidates out of 30 remaining candidates.
The number of ways to select 3 candidates out of 30 candidates is 30C3.
b) If one candidate is always excluded, then we need to select 4 candidates out of 30 remaining candidates.
The number of ways to select 4 candidates out of 30 candidates is 30C4.
Therefore, the answer is option B.
Explanation:
To solve this problem, we need to use the combination formula which is given by:
nCr = n! / (r! * (n-r)!)
where n is the total number of candidates, r is the number of candidates to be selected, and nCr is the number of ways to select r candidates out of n candidates.
a) If one candidate is always included, then we need to select 3 candidates out of 30 remaining candidates.
The number of ways to select 3 candidates out of 30 candidates is given by:
30C3 = 30! / (3! * (30-3)!) = 30! / (3! * 27!) = (30 * 29 * 28) / (3 * 2 * 1) = 4060
Therefore, there are 4060 ways to select 3 candidates out of 31 candidates if one candidate is always included.
b) If one candidate is always excluded, then we need to select 4 candidates out of 30 remaining candidates.
The number of ways to select 4 candidates out of 30 candidates is given by:
30C4 = 30! / (4! * (30-4)!) = 30! / (4! * 26!) = (30 * 29 * 28 * 27) / (4 * 3 * 2 * 1) = 27405
Therefore, there are 27405 ways to select 4 candidates out of 31 candidates if one candidate is always excluded.
Hence, the answer is option B.
We can solve this problem using the combination formula.
a) If one candidate is always included, then we need to select 3 candidates out of 30 remaining candidates.
The number of ways to select 3 candidates out of 30 candidates is 30C3.
b) If one candidate is always excluded, then we need to select 4 candidates out of 30 remaining candidates.
The number of ways to select 4 candidates out of 30 candidates is 30C4.
Therefore, the answer is option B.
Explanation:
To solve this problem, we need to use the combination formula which is given by:
nCr = n! / (r! * (n-r)!)
where n is the total number of candidates, r is the number of candidates to be selected, and nCr is the number of ways to select r candidates out of n candidates.
a) If one candidate is always included, then we need to select 3 candidates out of 30 remaining candidates.
The number of ways to select 3 candidates out of 30 candidates is given by:
30C3 = 30! / (3! * (30-3)!) = 30! / (3! * 27!) = (30 * 29 * 28) / (3 * 2 * 1) = 4060
Therefore, there are 4060 ways to select 3 candidates out of 31 candidates if one candidate is always included.
b) If one candidate is always excluded, then we need to select 4 candidates out of 30 remaining candidates.
The number of ways to select 4 candidates out of 30 candidates is given by:
30C4 = 30! / (4! * (30-4)!) = 30! / (4! * 26!) = (30 * 29 * 28 * 27) / (4 * 3 * 2 * 1) = 27405
Therefore, there are 27405 ways to select 4 candidates out of 31 candidates if one candidate is always excluded.
Hence, the answer is option B.
Community Answer
In your office 4 posts have fallen vacant. In how many ways a selectio...
We have total options 31 from which we have to select on 4 person . but there is condition that 1 person is always selected . so now we have only 30 options . AND IN 30 options we have to select only 3 because 1 is already selected . I HOPE MY ANSWER IS HELPFUL FOR YOU.
Attention CA Foundation Students!
To make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
In your office 4 posts have fallen vacant. In how many ways a selection out of 31 candidates can be made if one candidate is always included? Would your answer be different if one candidate is always excluded?a)30C3b)30C4c)31C3d)31C4Correct answer is option 'B'. Can you explain this answer?
Question Description
In your office 4 posts have fallen vacant. In how many ways a selection out of 31 candidates can be made if one candidate is always included? Would your answer be different if one candidate is always excluded?a)30C3b)30C4c)31C3d)31C4Correct answer is option 'B'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about In your office 4 posts have fallen vacant. In how many ways a selection out of 31 candidates can be made if one candidate is always included? Would your answer be different if one candidate is always excluded?a)30C3b)30C4c)31C3d)31C4Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In your office 4 posts have fallen vacant. In how many ways a selection out of 31 candidates can be made if one candidate is always included? Would your answer be different if one candidate is always excluded?a)30C3b)30C4c)31C3d)31C4Correct answer is option 'B'. Can you explain this answer?.
In your office 4 posts have fallen vacant. In how many ways a selection out of 31 candidates can be made if one candidate is always included? Would your answer be different if one candidate is always excluded?a)30C3b)30C4c)31C3d)31C4Correct answer is option 'B'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about In your office 4 posts have fallen vacant. In how many ways a selection out of 31 candidates can be made if one candidate is always included? Would your answer be different if one candidate is always excluded?a)30C3b)30C4c)31C3d)31C4Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In your office 4 posts have fallen vacant. In how many ways a selection out of 31 candidates can be made if one candidate is always included? Would your answer be different if one candidate is always excluded?a)30C3b)30C4c)31C3d)31C4Correct answer is option 'B'. Can you explain this answer?.
Solutions for In your office 4 posts have fallen vacant. In how many ways a selection out of 31 candidates can be made if one candidate is always included? Would your answer be different if one candidate is always excluded?a)30C3b)30C4c)31C3d)31C4Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of In your office 4 posts have fallen vacant. In how many ways a selection out of 31 candidates can be made if one candidate is always included? Would your answer be different if one candidate is always excluded?a)30C3b)30C4c)31C3d)31C4Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In your office 4 posts have fallen vacant. In how many ways a selection out of 31 candidates can be made if one candidate is always included? Would your answer be different if one candidate is always excluded?a)30C3b)30C4c)31C3d)31C4Correct answer is option 'B'. Can you explain this answer?, a detailed solution for In your office 4 posts have fallen vacant. In how many ways a selection out of 31 candidates can be made if one candidate is always included? Would your answer be different if one candidate is always excluded?a)30C3b)30C4c)31C3d)31C4Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of In your office 4 posts have fallen vacant. In how many ways a selection out of 31 candidates can be made if one candidate is always included? Would your answer be different if one candidate is always excluded?a)30C3b)30C4c)31C3d)31C4Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In your office 4 posts have fallen vacant. In how many ways a selection out of 31 candidates can be made if one candidate is always included? Would your answer be different if one candidate is always excluded?a)30C3b)30C4c)31C3d)31C4Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation 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
|
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