What is the arrangement of five chairs and people based on given data?

  • Level: Undergrad 
  • Thread starter Thread starter some_one
  • Start date Start date
Join the discussion
Registration is free. Start your own thread to ask a follow-up.
2 replies · 2K views
some_one
Messages
78
Reaction score
1
five chairs are arranged in such a way that
the distance between each two chairs is equal.
archi(A),teri(T),mikel(M),neitan(N) and john(J)
got sitted on this chair.
data:
A#. T is estranged from J and M equally.
B#. N and A are on the same side from T.

which of the following arguments are necessarily true ?
1.A sits close to N
2.M sits close to N
3.A and M sits close to N
4.J and A sits close to Nwhen i tried to solve it i encountered a problem with this data
from argument A# i get that T is in the center
and that J and M are on the same distance from the center

which lives me only one free space on each side
but in argument B# we have two other people from one side.
which crosses with argument A#

where is my mistake?
 
Mathematics news on Phys.org
From A, is it possible T is in seat #2, with J & M in #1 & #3?

I.e.: J,T,M,-,- or M,T,J,-,-

And similarly, T could be in seat #4?