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The number of ways in which four persons...

The number of ways in which four persons be seated at a round table, so that all shall not have the same neighbours in any two arrangements,is

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Since n persons be seated at a round table, so that all shall not have the same neighbours in any two arrangements, clockwise and anticlockwise arrangements are considered to be the same.
So, number of arrangements are `((n-1)!)/(2)`
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