Round table with a couple together

Eight people are seated around a circular table (seatings differing only by rotation are the same). Two of them are a couple who insist on sitting next to each other. How many distinct seatings are there?

Show hints (2)+
  1. Glue the couple into one block: 7 units around the circle give (71)!(7-1)!.
  2. Then multiply by 2!2! for the couple's internal order.

Answer

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1440

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Asked at: Game-Based Aptitude, Options Market-Making

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