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Nine, assuming the two boxes are considered different:

8 in the first box

7 in the first box, 1 in the second

6 in the first box, 2 in the second

5 in the first box, 3 in the second

4 in each box

3 in the first box, 5 in the second

2 in the first box, 6 in the second

1 in the first box, 7 in the second

8 in the second box.

If the boxes are interchangable, there are only five:

8 in one box

7 in one box, 1 in the other

6 in one box, 2 in the other

5 in one box, 3 in the other

4 in each box

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Q: How many ways can you put 8 apples in 2 boxes?
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