Question 1186635
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How many ways can 6 people sit together in a row
a) If two people sit together?
b) How many ways can 6 people sit in a circle of two people sit together?


Please explain my second homework question to me. Thank you! 
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<pre>
In part b), the correct  <U>ANSWER</U>  is  2*4! = 2*24 = 48 different possible ways.


Again, we consider these two persons as one unit and place them as a reference unit.


Then we order/permute the remaining  6 - 2 = 4 persons in 4! = 24 ways.


We multiply the number 24 by two, since there are two way to order that two persons, who are sitting together.
</pre>

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To see many other similar &nbsp;(and different) &nbsp;solved problems, &nbsp;look into the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF =https://www.algebra.com/algebra/homework/Permutations/Persons-sitting-around-a-circular-table.lesson>Persons sitting around a cicular table</A> 

in this site, &nbsp;and learn the subject from there.


Also, &nbsp;you have this free of charge online textbook in ALGEBRA-II in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-II - YOUR ONLINE TEXTBOOK</A>.


The referred lesson is the part of this online textbook under the topic &nbsp;"<U>Combinatorics: Combinations and permutations</U>". 



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.