Question
Asked Apr 28, 2019
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Hi. Can I get help how to figure this out? Thanks.

 

A group of 10 friends go to a movie theater to see a newly released film.
The friends consist of five married couples. How many ways can they sit
in 10 consecutive seats in the same row, if each couple must sit
together?
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A group of 10 friends go to a movie theater to see a newly released film. The friends consist of five married couples. How many ways can they sit in 10 consecutive seats in the same row, if each couple must sit together?

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Step 1

Given information:

A group of 10 friends consists of 5 married couples.

From this it can be said that, 5 friends went to movie with their spouse.

Step 2

Find the number of different ways in which 5 couples sit in a row where each couple sits together.

If each couple is treated as a single unit, then the 5 couples can be seated in 5! Ways.

Spouses can switch seats but still sit together, then each couple can b...

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