Question: Consider n people who drop a ticket into a box. The box of tickets is thoroughly shaken and randomized. Each person then draws one ticket,

Consider n people who drop a ticket into a box. The box of tickets is thoroughly shaken and randomized. Each person then draws one ticket, without replacement. A person is a winner if she selects her own ticket.
a. What is the probability that nobody is a winner?
b. Find the limit of the probability in part a, as n → ∞.

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