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20 persons are invited for a party. The different number of ways in which they can be seated around a circular table with two particular persons seated on the either side of the host are
  • a)
    19! 2!
  • b)
    18! 2!
  • c)
    20! 2!
  • d)
    18! 3! 
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
20 persons are invited for a party. The different number of ways in wh...
Since we are given that 20 persons are invited. Therefore including Host there are total 21 people, which are supposed to be seated around a circular table.
Now there is a constraint that two particular persons are seated on either side of the host.
Therefore considering host and these two particular persons as one entity, we are left with a total of (21 - 3 + 1) persons i.e. 19 persons, which are to be seated around the circular table.
This can be done in (19 - 1)! ways
i.e. 18!
But those two particular persons who are seated on either side of host can interchange their positions i.e. they can be arranged in 2! ways.
Hence total number of ways = 18!*2!
i.e. 2*18!
Therefore with the given constraint all the invited persons including host can be seated around a circular table in total of 2*18! ways.
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Most Upvoted Answer
20 persons are invited for a party. The different number of ways in wh...
Out of 20 members...2 members seated on either sides of host in 2! ways... remaining 18 members sit in 18! ways.. so... Total no.of ways in which 20 persons seated so that particularly 2 persons sit on either sides of host=18!2!... HOPE U GOT IT..
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Community Answer
20 persons are invited for a party. The different number of ways in wh...
Since we are given that 20 persons are invited. Therefore including Host there are total 21 people, which are supposed to be seated around a circular table.
Now there is a constraint that two particular persons are seated on either side of the host.
Therefore considering host and these two particular persons as one entity, we are left with a total of (21 - 3 + 1) persons i.e. 19 persons, which are to be seated around the circular table.
This can be done in (19 - 1)! ways
i.e. 18!
But those two particular persons who are seated on either side of host can interchange their positions i.e. they can be arranged in 2! ways.
Hence total number of ways = 18!*2!
i.e. 2*18!
Therefore with the given constraint all the invited persons including host can be seated around a circular table in total of 2*18! ways.
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20 persons are invited for a party. The different number of ways in which they can be seated around a circular table with two particular persons seated on the either side of the host area)19! 2!b)18! 2!c)20! 2!d)18! 3!Correct answer is option 'B'. Can you explain this answer?
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20 persons are invited for a party. The different number of ways in which they can be seated around a circular table with two particular persons seated on the either side of the host area)19! 2!b)18! 2!c)20! 2!d)18! 3!Correct answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about 20 persons are invited for a party. The different number of ways in which they can be seated around a circular table with two particular persons seated on the either side of the host area)19! 2!b)18! 2!c)20! 2!d)18! 3!Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 20 persons are invited for a party. The different number of ways in which they can be seated around a circular table with two particular persons seated on the either side of the host area)19! 2!b)18! 2!c)20! 2!d)18! 3!Correct answer is option 'B'. Can you explain this answer?.
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