In how many ways can 12 people sit around a table so that all shall not have the same neighbors in any two arrangements?

Asked by yogeshkumar pathak | 31st Jan, 2019, 11:56: PM

Expert Answer:

 12 people can sit around a table in
(12 – 1)! = 11!
 
However, each person will have the same neighbour in clockwise and anticlockwise arrangements.
Therefore, the required number is
= 7! / 2
= 5040/2
= 2520 ways

Answered by Science Mate | 1st Feb, 2019, 01:41: AM