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    in a party hall, 10 persons are to be arranged around a round table. if two particular persons are not to be seated side by side, then what is the total number of arrangements?

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    [Solved] 10 persons were invited to a party. In how many ways can the

    Concept: The number of ways to arrange n distinct things in a circular arrangement is given by:  (n – 1)! Calculation: After fixing the places of

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    10 persons were invited to a party. In how many ways can they be seated in a round table such that two particular persons sit on either side of the host?

    8! × 2! 10! × 2! 9! × 2! 9! None of these

    Answer (Detailed Solution Below)

    Option 1 : 8! × 2!

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    Detailed Solution

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    Concept:

    The number of ways to arrange n distinct things in a circular arrangement is given by:  (n – 1)!

    Calculation:

    After fixing the places of three persons (1 host + 2 persons) and treating them as 1 unit , so in total (10 – 2 + 1) = 9 units needs to be arranged in the round table.

    Now, these 9 units can be arranged in a round table in (9 – 1)! = 8! ways.

    Again these particular persons can sit on either side of the host in 2 ways.

    Hence, the total number of ways to arrange these 10 persons in a round table = 8! × 2!

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    स्रोत : testbook.com

    12 persons are to be arranged to a round table. If two particular persons among them are not to be side by side, the total number of arrangements is

    Click here👆to get an answer to your question ✍️ 12 persons are to be arranged to a round table. If two particular persons among them are not to be side by side, the total number of arrangements is

    Question

    12 persons are to be arranged to a round table. If two particular persons among them are not to be side by side, the total number of arrangements is

    A

    9(10 !)

    B

    2(10 !)

    C

    45(8 !)

    D

    10 !

    Hard Open in App

    Updated on : 2022-09-05

    Solution Verified by Toppr

    Correct option is A)

    Arrangements of 12 persons =11!

    2 persons can not seat together

    =11!−10!2 10!(11−2)=9(10!) ​

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    स्रोत : www.toppr.com

    In how many ways can a party of 10 people be seated around a round table if certain 4 people refuse to sit next to each other?

    Answer (1 of 2): In how many ways can a party of 10 people be seated around a round table if certain 4 people refuse to sit next to each other? Out of the 10, 6 people have no problem in sitting together. Let us call them friends. At a round table, these 6 friends can be seated in (6-1)! or 5! w...

    In how many ways can a party of 10 people be seated around a round table if certain 4 people refuse to sit next to each other?

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    Sort Miyuki Nanase

    Author has 1.3K answers and 108K answer viewsAug 5

    Answer

    = (10 — 4 — 1)! × (10 — 4)P4

    = 5! × 6P4

    = 120 × 6 × 5 × 4 × 3

    = 720 × 60 = 43200 Related questions

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    स्रोत : www.quora.com

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