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    Question

    Among 5 distinct toys, how many arrangements are

    possible such that 3 specific toys do not appear together?
    A 60 Correct Answer Incorrect Answer
    B 84 Correct Answer Incorrect Answer
    C 72 Correct Answer Incorrect Answer
    D 36 Correct Answer Incorrect Answer

    Solution

    Total = 5! = 120
    Together: Treat 3 toys as block + 2 others = 3! = 6
    Internal = 3! = 6
    Together = 6 * 6 = 36
    Required = 120 - 36 = 84

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