Q) In how many ways can 7 person sit around a table so that all shall not have same neighbours in any two arrangements.

Asked by araima2001 | 3rd Dec, 2016, 09:49: AM

Expert Answer:

begin mathsize 20px style 7 space persons space can space sit space around space straight a space table space in space 6 factorial space ways.
But space each space person space will space have space the space same space neighbours space in space clockwise space and space anticlockwise space arrangements comma
so comma space the space required space number space
equals space 1 half 6 factorial space
equals 1 half cross times 720 space equals space 360 end style

Answered by Rebecca Fernandes | 3rd Dec, 2016, 10:04: PM

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