Mislabeled Boxes

Three boxes are labeled Apples, Oranges and Mixed. Every label is wrong. You can pull out one fruit from one box. How do you label them all correctly?

Hint: Start with the box you know is not what it says, the 'Mixed' one.

Answer

Take a fruit from the box labeled Mixed. If it's an apple, that box is Apples, the box labeled Oranges is Mixed, and the box labeled Apples is Oranges (and the reverse if it's an orange).

Because every label is wrong, the 'Mixed' box must hold only one fruit type. Once you know it, the other two labels can only be fixed one way.

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