A hash table is being used to store the phone numbers of k people, storing each persons

Chapter 4, Problem 47

(choose chapter or problem)

A hash table is being used to store the phone numbers of k people, storing each persons phone number in a uniformly random location, represented by an integer between 1 and n (see Exercise 25 from Chapter 1 for a description of hash tables). Find the expected number of locations with no phone numbers stored, the expected number with exactly one phone number, and the expected number with more than one phone number (should these quantities add up to n?).

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