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1. (20 pts, Permutation) There is only one way for two people to be seated at a round table. In how _rn_any__ different ways can

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1. (20 pts, Permutation) There is only one way for two people to be seated at a round table. In how _rn_any__ different ways can 2 married couples coming to a dinner be seated at a round table with tour seats (two seating arrangements are equivalent if everyone has the same immediate left and right neighbors), (LES pts) If there are no restrictions?(5 pts) List all these seating assignments by drawing an appropriate gure for each seating assignments (Name the couples as H1,W1,H2,W2). Hint: The following assignments are a same seating assignment(since one is the \"rotation \"of the other). (2) (3 pts) if each married couple is seated together? (2 pts) Explain your counting method. (3) (3 pts) if the members of each sex are seated together? (2 pts) Explain your counting method

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