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)?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 87E
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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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