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n sandwiches with n people (mapped 1 to 1). If the first person picked a random sandwich, the following people would try to get their

n sandwiches with n people (mapped 1 to 1).

If the first person picked a random sandwich, the following people would try to get their own sandwich (but will pick a random one if they are not able to get their own, in this case, someone has taken it). Person A is the last person in line.

QUESTION:

What is the probability for person A to get person A's designated sandwich? Express in term of n.

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