My Math Forum Probablity - round table

 Probability and Statistics Basic Probability and Statistics Math Forum

 January 13th, 2018, 08:51 AM #1 Banned Camp   Joined: Dec 2017 From: Tel Aviv Posts: 87 Thanks: 3 Probablity - round table How many ways there is when sitting next to round table of n-chairs? How many ways there is if Dan and David don't want to sit together? What is the formula?
 January 13th, 2018, 11:47 AM #2 Senior Member     Joined: Sep 2015 From: USA Posts: 2,098 Thanks: 1093 Sitting how many people? n?
 January 13th, 2018, 12:39 PM #3 Banned Camp   Joined: Dec 2017 From: Tel Aviv Posts: 87 Thanks: 3 Yes, n people.
January 13th, 2018, 01:07 PM   #4
Senior Member

Joined: Sep 2015
From: USA

Posts: 2,098
Thanks: 1093

Quote:
 Originally Posted by policer Yes, n people.
suppose the table was linear rather than circular.

how many different ways could you arrange n people?

now given that table is circular, how many of those arrangements are in fact identical for a given arrangement.

given the two answers above what is the formula for the # of arrangements around an n seat circular table?

January 13th, 2018, 04:03 PM   #5
Math Team

Joined: Oct 2011

Posts: 13,122
Thanks: 914

Quote:
 Originally Posted by policer How many ways there is if Dan and David don't want to sit together?
No way if n < 4

January 15th, 2018, 12:54 AM   #6
Banned Camp

Joined: Dec 2017
From: Tel Aviv

Posts: 87
Thanks: 3

I don't know

Quote:
 Originally Posted by romsek suppose the table was linear rather than circular. how many different ways could you arrange n people? now given that table is circular, how many of those arrangements are in fact identical for a given arrangement. given the two answers above what is the formula for the # of arrangements around an n seat circular table?
I have no idea how to solve this question? Please give me more hints.
And why n >= 4 (because of the round table (?!))?

 January 15th, 2018, 03:17 AM #7 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,122 Thanks: 914 If n = 3, then 3 chairs only: so they have to be next to each other, being a round table!
 January 15th, 2018, 03:35 AM #8 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,859 Thanks: 1080 Math Focus: Elementary mathematics and beyond What about n = 1?
 January 15th, 2018, 04:08 AM #9 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,122 Thanks: 914 Easy: Dan and David kiss n' make up, Dan sits on David's lap

 Tags probablity, round, table

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post vs140580 LaTex Help 1 February 25th, 2017 07:53 PM Pumaftw Elementary Math 14 November 13th, 2014 08:02 AM Punch Algebra 4 February 1st, 2012 10:34 PM tvthinh Advanced Statistics 4 July 30th, 2009 08:03 PM tvthinh Number Theory 0 December 31st, 1969 04:00 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top