SOLUTION: four men, two women and a child sit at a round table. find the number of ways of arranging the seven people if the child is already sitted

Algebra ->  Permutations -> SOLUTION: four men, two women and a child sit at a round table. find the number of ways of arranging the seven people if the child is already sitted      Log On


   



Question 1096032: four men, two women and a child sit at a round table. find the number of ways of arranging the seven people if the child is already sitted
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
The number of distinguishable circular permutations for n people sitting at a round table is n%21%2Fn = (n-1)!.


In your case, it is 6! = 1*2*3*4*5*6 = 720 ways.


It is the same number as in the solution to the same problem given at the link
https://www.algebra.com/algebra/homework/Permutations/Permutations.faq.question.1096023.html

https://www.algebra.com/algebra/homework/Permutations/Permutations.faq.question.1096023.html