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    Question

    Eight books out of which 4 are part of a series and the

    remaining are standalone books are to be arranged on a shelf. Find the number of arrangements in which all four series books are not together.
    A 36000 Correct Answer Incorrect Answer
    B 38400 Correct Answer Incorrect Answer
    C 37440 Correct Answer Incorrect Answer
    D 40320 Correct Answer Incorrect Answer
    E 34560 Correct Answer Incorrect Answer

    Solution

    Total number of arrangements = 8! = 40320 ways
    Treat 4 series books as one: arrangements among themselves = 4! = 24 ways
    Arrange remaining 5 items = 5! = 120 ways
    Therefore, required number of ways = 40320 – (24 × 120) = 37440 ways

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