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I have to count these for class

 

There are 18  padded chairs around a circular table, and the chairs are numbered from 1  through 18 . How many ways can five people take their seats, so that no two people are adjacent?

 Mar 20, 2023
 #1
avatar+118616 
+1

are the people classed as identical?

are rotations the same?

 Mar 20, 2023
edited by Melody  Mar 20, 2023
edited by Melody  Mar 20, 2023
 #2
avatar+118616 
+1

Assumig peope are the same an rotations are the same

 

then

tie each person in a chair  to a chair  on the right,  

so now there are 5 double people and 8 other seats that is 13 altogether

 

Pur one double in place, down't matter where, that takes care of rotations

 

now there are    12C4 = 495 ways

 Mar 20, 2023

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