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how many ways can 9 people be seated to round table?

 Jan 20, 2016

Best Answer 

 #7
avatar+118667 
+10

how many ways can 9 people be seated to round table?'

 

Almost guest.

It is actually     (9-1)! = 8!

 

NOT 9! as it would be if they were in a row.  You see, you are supposed to only concern yourself with where people are sitting wrt each other NOT in regards to the room that the table is in.  So there is no beginning or end to this circle like there is with a line. :)

 Jan 21, 2016
 #1
avatar+5265 
+5

An infinite amount of ways.

 Jan 20, 2016
 #2
avatar+1023 
+5

Would it be infinity? Because a round table is infinitley round, ya know!

 Jan 20, 2016
 #3
avatar+1023 
+5

That's what I said!

 

surpriselaughsurprise

 Jan 20, 2016
 #4
avatar+1023 
+5

That's what I said!

 

surpriselaughsurprise

 Jan 20, 2016
 #5
avatar+1023 
+5

surpriseOOPS!surprise

 Jan 20, 2016
 #6
avatar
+4

Lets take the circumference of the chairs and just straighten them out to a line

9 positions

 

9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362880 ways       I think!

 Jan 20, 2016
 #7
avatar+118667 
+10
Best Answer

how many ways can 9 people be seated to round table?'

 

Almost guest.

It is actually     (9-1)! = 8!

 

NOT 9! as it would be if they were in a row.  You see, you are supposed to only concern yourself with where people are sitting wrt each other NOT in regards to the room that the table is in.  So there is no beginning or end to this circle like there is with a line. :)

Melody Jan 21, 2016

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