In how many ways can they sit so that the dinner may NOT end in a disaster (i.e. how many ways can they sit so that none of Trump, Kim or Putin sits adjacent to each other)?

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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(DO NOT use any other symbol except numbers in the answer slot ) Trump, Kim, Justin, Modi, Putin and Sefu are at a round table dinner.[The answers of the following questions are integers.Put the answer only.Don’t use space,decimal points,comma etc] Now, It is known that if any two of Trump, Kim and Putin sit beside each other (while sitting in a linear fashion), the dinner may end up in a disaster. In how many ways can they sit so that the dinner may NOT end in a disaster (i.e. how many ways can they sit so that none of Trump, Kim or Putin sits adjacent to each other)?
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