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Suppose each of n balls labeled 1 to n is placed in one of n boxes labeled 1 to n. Assume the n placements are made independently and uniformly at random (so each box can contain more than one ball). A match occurs at place k if ball number k falls in box k. Find:

a) the probability of a match at i and no match at j;

b) the expected number of matches.

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Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M91021402

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