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Seating boys and girls in a row or round a table with together or not-together conditions

This type of question, asked 4 times: 8 Apr 2023, 22 Jan 2025, 23 Jan 2025, 4 Apr 2026 S1. All 4 questions below, oldest first.

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  1. Question 1

    8 Apr 2023

    67
    The number of ways, in which 5 girls and 7 boys can be seated at a round table so that no two girls sit together, is

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  2. Question 2

    22 Jan 2025

    127
    In a group of 3 girls and 4 boys, there are two boys B1B_{1} and B2B_{2}. The number of ways, in which these girls and boys can stand in a queue such that all the girls stand together, all the boys stand together, but B1B_{1} and B2B_{2} are not adjacent to each other, is :

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  3. Question 3

    23 Jan 2025

    146
    The number of ways, 5 boys and 4 girls can sit in a row so that either all the boys sit together or no two boys sit together, is

  4. Question 4

    4 Apr 2026 S1

    58
    The number of ways, of forming a queue of 4 boys and 3 girls such that all the girls are not together, is:

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