Connect with knowledgeable individuals and find the best answers at IDNLearn.com. Ask your questions and get detailed, reliable answers from our community of experienced experts.

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?