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    Question

    Seven books out of which 4 are novels and rest are comics

    have to be arranged on a shelf. Find the number of ways of arrangement in which all four novels are not placed together.
    A 4560 Correct Answer Incorrect Answer
    B 4464 Correct Answer Incorrect Answer
    C 4320 Correct Answer Incorrect Answer
    D 5040 Correct Answer Incorrect Answer
    E 4788 Correct Answer Incorrect Answer

    Solution

    Total number of ways of arrangement = 7! = 5040 ways
    If we consider 4 novels as one book, number of ways of arrangement among themselves = 4! = 24 ways
    Number of ways of arrangement of remaining 4 items = 4! = 24 ways
    Therefore, required number of ways = 5040 – (24 × 24) = 4464 ways

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