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Each of n 2 people puts his or her name on a slip of paper (no two have the same name)

Chapter 4, Problem 34

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QUESTION:

Each of n 2 people puts his or her name on a slip of paper (no two have the same name). The slips of paper are shued in a hat, and then each person draws one (uniformly at random at each stage, without replacement). Find the average number of people who draw their own names.

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QUESTION:

Each of n 2 people puts his or her name on a slip of paper (no two have the same name). The slips of paper are shued in a hat, and then each person draws one (uniformly at random at each stage, without replacement). Find the average number of people who draw their own names.

ANSWER:

Step 1 of 3

Let a random variable be defined as,

For i=1, 2, ..., n

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