Question

Suppose 5 distinct balls are distributed into 3 distinct boxes such that each of the 5...

Suppose 5 distinct balls are distributed into 3 distinct boxes such that each of the 5 balls can get into any of the 3 boxes.

1) What is the Probability that box 1 has exactly two balls and the remaining balls are in the other two boxes.

2) What is the probability that there is exactly one empty box?

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