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    Question

    You have 4 distinct cubes and 2 distinct balls. Find the

    number of ways to arrange them such that all 4 cubes are not placed together.
    A 576 Correct Answer Incorrect Answer
    B 480 Correct Answer Incorrect Answer
    C 600 Correct Answer Incorrect Answer
    D 144 Correct Answer Incorrect Answer

    Solution

    Total = 6! = 720
    Cubes together: Treat as 1 block + 2 balls = 3! = 6
    Internal cube arrangements = 4! = 24
    Together = 6 * 24 = 144
    Required = 720 - 144 = 576

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