Counting and complements · Wedding dinner
No couple side by side
4 married couples (8 people) sit down in a single row of 8 chairs at a wedding dinner, in a uniformly random order: all 8! seatings are equally likely. What is the probability that no couple ends up in adjacent chairs?
Answer with a probability. First lock in a gut guess with an 80% range, then solve it properly, then watch a simulation settle on the truth.
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