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In how many ways can 6 persons can be se...

In how many ways can 6 persons can be seated at a round table so that all shall not have the same neighbours in any two arrangements?

Text Solution

Verified by Experts

6 persons can sit at a round table in 5! Ways.
But, in clockwise and anticlockwise arrangement, each person will have the same neighbours.
So, the required number of ways
`= (1)/(5) xx 5! = (1)/(2) xx 120 = 60`.
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