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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.5: Mathematical Induction
Problem 27E
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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? Hlint: This problem has nonobvious symmetry which you must take some
care to justify.
Transcribed Image Text: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? Hlint: This problem has nonobvious symmetry which you must take some care to justify.
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