Ten diplomats, each from a different country, are lined up in two rows of five for a photo. How many arrangements are possible if the Saudi and Turkish diplomats refuse to be in the same row as the Russian and Syrian diplomats?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 8T
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Ten diplomats, each from a different country, are lined up in two rows of five for a photo. How many arrangements are possible if the Saudi and Turkish diplomats refuse to be in the same row as the Russian and Syrian diplomats? 

In other words we have the following constraints: The Saudi and Russian diplomats can’t be in the same row, The Saudi and Syrian diplomats can’t be in the same row, The Turkish and Russian diplomats can’t be in the same row, The Turkish and Syrian diplomats can’t be in the same row

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