Question 1178311
.
There are 10 people in a meeting. In how many ways can you arrange your participants (including you) 
around a {{{highlight(circular)}}} conference table if 4 people insist on sitting {{{highlight(cross(beside))}}} <U>next to</U> each other?
~~~~~~~~~~~~~~~



To see many similar &nbsp;(and different) &nbsp;problem solved, &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, 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.



///////////



<U>ANSWER</U>.  &nbsp;&nbsp;&nbsp;&nbsp;6!*4! = 6*5*4*3*2*1*(4*3*2*1) = 17280 ways.