A total of 2n people, consisting of n married couples, are randomly seated (ail 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≠ 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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