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    Question

    There are 6 positions on a shelf. You have 3 identical

    pens and 3 distinct books. In how many ways can these articles be arranged such that all pens do not appear together?
    A 120 Correct Answer Incorrect Answer
    B 96 Correct Answer Incorrect Answer
    C 84 Correct Answer Incorrect Answer
    D 144 Correct Answer Incorrect Answer

    Solution

    Total arrangements = 6! / 3! = 120
    All pens together: Pens block + 3 books = 4! = 24
    Required = 120 - 24 = 96

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