IHow many ways are there for 6 people sitting around a circular table to pick from 12 entrees so that noone orders the same thing as the person on either side of them? Hint: This problem has nonobvious symmetry which you must take some care to justify.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
Problem 30E
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Make sure to include:

(1) The universe set X.
(2) The excluded subsets Ai.
(3) The method used to count the intersections of excluded subsets.

IHow many ways are there for 6 people sitting around a circular table to pick
from 12 entrees so that noone orders the same thing as the person on either side of
them? Hint: This problem has nonobvious symmetry which you must take some
care to justify.
Transcribed Image Text:IHow many ways are there for 6 people sitting around a circular table to pick from 12 entrees so that noone orders the same thing as the person on either side of them? Hint: This problem has nonobvious symmetry which you must take some care to justify.
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