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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?

 Apr 11, 2023
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n=18;r=5;k=1; a=n * (n - (r*k) - 1) nPr (r - 1)==213,840 - number of ways of seating 5 people.


/* where k stands for minmum chair separation between any 2 persons */
/* and k<=[n - r] / r and n=number of chairs, r=number of people to be seated */
/* and k=1 or number of chairs 2 people must be separated by.*/

 Apr 12, 2023

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