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Randomly, k distinguishable balls are placed into n distinguishable boxes, with all

Chapter 4, Problem 30

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QUESTION:

Randomly, k distinguishable balls are placed into n distinguishable boxes, with all possibilities equally likely. Find the expected number of empty boxes.

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QUESTION:

Randomly, k distinguishable balls are placed into n distinguishable boxes, with all possibilities equally likely. Find the expected number of empty boxes.

ANSWER:

Step 1 of 3

Given:

The number of distinguishable balls is k.

The number of distinguishable boxes is n.

The possibilities are equally likely.

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