A total of 2n people, consisting of n married couples, are randomly seated (all possible orderings being equally likely) at a round table. Let ci denote the event that the members of couple i are seated next to each other, i = 1 . . . N. (a) find p(ci). (b) for j 6= i, find p(cj |ci). (c) approximate the probability, for n large, that there are no married couples who are seated next to each other.
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