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**heathrowjohnny** Six individuals, including $\displaystyle A $ and $\displaystyle B $, take seats around a circular table in a completely random fashion. Suppose the seats are numbered $\displaystyle 1, \ldots, 6 $. Let $\displaystyle X = \text{A's seat number} $ and $\displaystyle Y = \text{B's seat number} $. If $\displaystyle A $ sends a written message around the table to $\displaystyle B $ in the direction in which they are closest, how many individuals (including $\displaystyle A $ and $\displaystyle B $) would you expect to handle the message?