MHB Unsolvable Seating Arrangement? Investigating the Betweeness of Points Problem

  • Thread starter Thread starter Moon1
  • Start date Start date
  • Tags Tags
    Points
AI Thread Summary
The discussion revolves around a complex seating arrangement problem involving five students: Lee, Linh, Brad, Tiina, and Tammy. Key constraints include the distances between Lee, Linh, and Brad, as well as Tiina's position between Tammy and Linh, and her adjacency to Brad. Participants struggle to find a valid order that satisfies all conditions without leaving an empty seat. The consensus is that an empty seat may be necessary to solve the problem, but there is uncertainty about the arrangement's accuracy. The conversation emphasizes the need to verify the problem's conditions for clarity.
Moon1
Messages
1
Reaction score
0
I have worked for an hour on this - with my mom too. 5 geometry students are sitting in a row. Lee is the same distance from Linh that Linh is from Brad. Tiina is seated between Tammy and Linh. Brad is sitting next to Tiina. Tiina is not seated between Brad a Tammy. What order are they sitting in. We get it to work when Tiina is between Brad and Tammy, but the last sentence makes that incorrect. The only other way we came up with was Tammy, Brad, Tiina, Linh, space, Lee. But I don't think a space is allowed. Not sure what to do next. Thank you.
 
Mathematics news on Phys.org
Hello Moon...welcome to MHB. :D

I honestly do not see how such a seating arrangement is possible without introducing an empty seat as well, and I arrive at the same order you did, with an empty seat in the same location.

I would check first to make certain you have the problem written out correctly, with all of the conditions reproduced exactly as given.

But, it is possible that we are missing an arrangement that someone else here may find.
 
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Back
Top