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The number of ways can seven persons sit...

The number of ways can seven persons sit around a table so that all shall not have the same neighbours in any two arrangements is

A

720

B

360

C

1440

D

none of these

Text Solution

Verified by Experts

Clearly, 7 persons can sit at a round table in (7-1)!=6! Ways. But in clockwise and anticlockwise arrangments, each person will have the same neighbours.
`:.` Required number of ways `=(1)/(2)(6!)=360`.
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