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Round table: particular persons never sit next to each other

This type of question, asked 3 times: 4 May 2023 S1, 26 Apr 2025 S2, 18 Apr 2026 S1. All 3 questions below, oldest first.

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  1. Question 1

    4 May 2023 S1

    106
    The number of ways in which 5 boys and 3 girls can be seated on a round table, if a particular boy B1B_1 and a particular girl G1G_1 never sit adjacent to each other, is

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  2. Question 2

    26 Apr 2025 S2

    124
    The number of ways in which 6 boys and 4 girls can be seated around a round table such that 2 special boys and a special girl never sit together is

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  3. Question 3

    18 Apr 2026 S1

    52
    11 players of the Indian cricket team are sitting at a circular table. The number of ways they can sit so that two players, the wicket keeper and the captain never sit together is ___

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