math help please probablity

[RING12]

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how many arrangment can six people are seated around a circle table?

answer is 120. but i thnk it should be 270.(6!)

 

[cl2137]

how many arrangment can six people are seated around a circle table?

answer is 120. but i thnk it should be 270.(6!)

for a circular table, the formula is (n-1)! So it's 5!

 

[desert]

how many arrangment can six people are seated around a circle table?

answer is 120. but i thnk it should be 270.(6!)

If they were sitting in a row of a table, the answer would have been
N! = 6! =6*5*4*3*2*1 =720

Since those are sitting in a circle table, two people (#1 and #6) are sitting close. So actually there is only 5! case can be possible. The answer will be
N! =5! =6*5*4*3*2*1 = 120

Or you may think (N-1)! = (6-1)! =5!

 

[tissy]

Nice !!

If they were sitting in a row of a table, the answer would have been
N! = 6! =6*5*4*3*2*1 =720

Since those are sitting in a circle table, two people (#1 and #6) are sitting close. So actually there is only 5! case can be possible. The answer will be
N! =5! =6*5*4*3*2*1 = 120

Or you may think (N-1)! = (6-1)! =5!