SOLUTION: In how many ways can four couples be seated in a row of eight seats at a theater if each couple is seated together?

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Question 1136143: In how many ways can four couples be seated in a row of eight seats at a theater if each couple is seated together?

Answer by ikleyn(52754) About Me  (Show Source):
You can put this solution on YOUR website!
.

ANSWER.  4%21+%2A+2%5E4 = 1*2*3*4*16 = 384.


4! accounts for permutations of four couples considering each couple as one whole entity.


2%5E4 accounts for permutations inside each couple.

Solved.

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On Permutations,  see introductory lessons
    - Introduction to Permutations
    - PROOF of the formula on the number of Permutations
    - Problems on Permutations

    - OVERVIEW of lessons on Permutations and Combinations
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic  "Combinatorics: Combinations and permutations".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.