If n people sitting on a table, what is the possibility of 2 persons sitting next to each other?
1) Total possible arrangement of n people on a table = n! / n = (n-1)! 2) Total possible arrangement of n-1 people (assuming those two sitting together would be treated as a single person) = 2* (n-1)! / (n-1) = 2* (n-2)!
The possibility of 2 persons sitting next to each other = 2* (n-2)! / (n-1)! = 2/(n-1)