Question: how many ways to put 4 different balls into 8 different boxes? I know it should be 8^4, but I need to calculate this by

how many ways to put 4 different balls into 8 different boxes?

I know it should be 8^4, but I need to calculate this by adding different cases together.

For example, 4 balls in one boxes, there are 8 ways.

I tried to do it this way, but I just cannot get 4096.

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