SOLUTION: 15 persons in a club sit every day in dinner table such that every member has different neighbor. This arrangement will last for how many days.

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Question 514426: 15 persons in a club sit every day in dinner table such that every
member has different neighbor. This arrangement will last for how many
days.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Depends.

Is it a round table such that each of the 15 people has exactly two neighbors? Or is it a long table with seating on one side so that 13 people have two neighbors and 2 people have one neighbor each? Or is it a long table with seating down down both sides such that 11 people each have 2 neighbors and 4 people have one neighbor each. Then, in the last case, do you consider a person's vis-à-vis a neighbor or not?

John

My calculator said it, I believe it, that settles it
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