Question

A movie cinema has n numbered seats, and n tickets are distributed among n students. Compute...

A movie cinema has n numbered seats, and n tickets are distributed among n students.

Compute the probability that

(a) exactly two students will be seated at seats corresponding to their ticket numbers if all the seats are occupied at random.

(b) at least two students will be seated at seats corresponding to their ticket numbers if all the seats are occupied at random

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