Pair at a round table

MediumCombinatorics~5m

Six people sit around a round table (rotations considered the same). In how many seatings do two specific people sit next to each other?

Show hints (2)+
  1. Circular arrangements of kk units number (k−1)!(k-1)!.
  2. Treat the pair as one block, then ×2\times 2 for their order.

Answer

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48

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