A Theater has n numbered seats, and n tickets are distributed among n persons. Compute the...

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A Theater has n numbered seats, and n tickets are distributedamong n persons. Compute the probability that

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

(b) at least two persons will be seated at seats correspondingto their ticket numbers if all the seats are occupied atrandom.

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