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Three married couples will go to the movies and occupy six seats in a row. How many seating arrangements are possible if at least one person is not sitting next to their spouse?

Three married couples will go to the movies and occupy six seats in a row. How many seating arrangements are possible if at least one person is not sitting next to their spouse?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Counting Problems: Seating Arrangements** *These are counting problems. If you use a tree diagram, that is sufficient explanation by itself. However, for other methods of counting, you will need to give some explanation to justify your answer.* --- **Problem 8:** Three married couples will go to the movies and occupy six seats in a row. How many seating arrangements are possible if at least one person is *not* sitting next to their spouse?
Transcribed Image Text:**Counting Problems: Seating Arrangements** *These are counting problems. If you use a tree diagram, that is sufficient explanation by itself. However, for other methods of counting, you will need to give some explanation to justify your answer.* --- **Problem 8:** Three married couples will go to the movies and occupy six seats in a row. How many seating arrangements are possible if at least one person is *not* sitting next to their spouse?
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