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The four couples can be arranged in 4! = 24 ways and each couple in 2! = 2 ways within the couple. So by the multiplication principle applied to independent events the total ways are 24 x 24 = 96 ways. It is perhaps easier to imagine it if you start with 2 couples.

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Q: How many ways can you arrange the sitting of 4 couples if they must sit in the same row and each couple must sit next to each other?
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