How 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? Have to use inclusion and exclusion

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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How 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?

Have to use inclusion and exclusion.

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