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1. In how many ways can 4 balls be placed in 4 boxes if neither the balls nor the boxes are distinguishable?
2. In how many ways can 4 balls be placed in 4 boxes if the balls are indistinguishable, and the boxes are distinguishable?
3. In how many ways can 4 balls be placed in 4 boxes if 3 balls are indistinguishably white, 1 ball is black, and the boxes are indistinguishable?

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