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A number of 18 guests have to be seated,...

A number of 18 guests have to be seated, half on each side of a long table. Four particular guests desire to sit on one particular side and three others on the other side. Determine the number of ways in which the sitting arrangements can be made.

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Eighteen guest have to be sated. Half on each side of long table. Four particlular guest desire to sit on one particular side and three others on the other side. Determine the number of ways in which seating arrangements can be made.

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Knowledge Check

  • Eighteen guests are to be seated half on each side of a long table. Four particular guests desire to sit on particular side and three others on other side of the table. The number of ways in which the seating arrangements can be made is (i) ((11!))/((5!)(6!))((9!))^(2) (ii) ((11!))/((5!)(6!))((9!))^(2)*2! (iii) ((11!))/((5!)(6!))(2!) (iv) ((11!))/((5!)(6!))((9!))*(2!)

    A
    `((11!))/((5!)(6!))((9!))^(2)`
    B
    `((11!))/((5!)(6!))((9!))^(2)*2!`
    C
    `((11!))/((5!)(6!))(2!)`
    D
    `((11!))/((5!)(6!))((9!))*(2!)`

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