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      Question

      In how many ways can you arrange 3 identical cubes, 2

      identical pens, and 1 ball such that all 3 cubes are not together?
      A 48 Correct Answer Incorrect Answer
      B 60 Correct Answer Incorrect Answer
      C 36 Correct Answer Incorrect Answer
      D 72 Correct Answer Incorrect Answer
      E 24 Correct Answer Incorrect Answer

      Solution

      Total = 6! / (3! * 2!) = 60
      Cubes together: 1 block + 2 pens + 1 ball = 4! / 2! = 12
      Required = 60 - 12 = 48

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