Anonamy wrote:

How do we arrive at 6!/6? I had chosen the answer for 6! only. What is the logic behind this please?

Hi,

in a normal row, say abcdef is the number of chair and mr x is one of the person sitting on these chairs...

in normal scenario/row , the moment x sits on a different chair a,b,c,d,e, or f, it is a new arrangement...

but it is different in case of a circle.. the seating arrangement is continous, there is no edge..

so say 1,2,3,4,5,6 are sitting on a,b,c,d,e,f respectively...

when they shift a sit to the right, the sitting arrangement becomes 6,1,2,3,4,5, which is different from 1,2,3,4,5,6( total 6 such arrangements)...

but in a circle 1,2,3,4,5,6 is same as 6,1,2,3,4,5 is same as 5,6,1,2,3,4.. because you are getting the same arrangement of people even if they have changed their seat because the relative positions have not changed.. that is why we divide by 6

Hope , the logic is clear

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