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CBSE Class 11-science Answered

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 | 31 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
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