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In how many ways can 10 examination papers be arranged so that the best and the worst papers never come together?
- a)8*9!
- b)8*8!
- c)7*9!
- d)9*8!
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In how many ways can 10 examination papers be arranged so that the bes...
No. of ways in which 10 paper can arranged is 10! Ways.
When the best and the worst papers come together, regarding the two as one paper, we have only 9 papers.
These 9 papers can be arranged in 9! Ways.
And two papers can be arranged themselves in 2! Ways.
No. of arrangement when best and worst paper do not come together,
= 10!- 9!.2! = 9!(10-2) = 8.9!.
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In how many ways can 10 examination papers be arranged so that the bes...
Solution:
To find the number of ways of arranging 10 examination papers such that the best and the worst papers never come together, we can use the principle of inclusion and exclusion.
Let A be the set of all arrangements, and let B be the set of arrangements where the best and worst papers are together.
Then, using the principle of inclusion and exclusion, we have:
|A| = 10!
|B| = 9!
|A ∩ B| = 8!
Therefore, the number of arrangements where the best and worst papers never come together is:
|A \ B| = |A| - |B| + |A ∩ B| = 10! - 9! + 8! = 8 × 9!
Hence, the correct option is (a) 8 × 9!.
To find the number of ways of arranging 10 examination papers such that the best and the worst papers never come together, we can use the principle of inclusion and exclusion.
Let A be the set of all arrangements, and let B be the set of arrangements where the best and worst papers are together.
Then, using the principle of inclusion and exclusion, we have:
|A| = 10!
|B| = 9!
|A ∩ B| = 8!
Therefore, the number of arrangements where the best and worst papers never come together is:
|A \ B| = |A| - |B| + |A ∩ B| = 10! - 9! + 8! = 8 × 9!
Hence, the correct option is (a) 8 × 9!.
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In how many ways can 10 examination papers be arranged so that the best and the worst papers never come together?a)8*9!b)8*8!c)7*9!d)9*8!Correct answer is option 'A'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about In how many ways can 10 examination papers be arranged so that the best and the worst papers never come together?a)8*9!b)8*8!c)7*9!d)9*8!Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways can 10 examination papers be arranged so that the best and the worst papers never come together?a)8*9!b)8*8!c)7*9!d)9*8!Correct answer is option 'A'. Can you explain this answer?.
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