DidTheMath – Telegram
Request I keep seeing posts on corporate profit margins, and it got my wondering what a regular person's "profit margin" would be for comparison.


Hello! I am not a mather in the sense that many people in this sub show up wanting to be. I had a curious thought around what the "profit margin" for the average person would be, the variables to quantify in there, and how it holds up to corporate profit margins. You cats have any ideas?

https://redd.it/1rarm0i
@TheyDidTheMath
[Request] What would actually happen if we did this? Are there any potentially dangerous outcomes?
https://redd.it/1rawk24
@TheyDidTheMath
Request Difference in persons weight while moving palette jack.

Hi guys. I got one practical request.
Let's say we have pallette, for example loaded with 700 kg. How much easier is to move the pallette with pallette jack for my coworker, who have 85 kg, opposed to my 60kg?

(Sorry for mistakes, English is my third language)

https://redd.it/1raxivf
@TheyDidTheMath
Request I built a 5x5 toroidal sliding puzzle, but the combinatorics are way over my head. How many possible states are there?

Hey everyone, I am a software developer, not a mathematician. I recently built and launched a daily web puzzle called **Rowtate**.

It is a 5x5 grid of scrambled letters. You can shift entire rows horizontally and columns vertically. The tiles wrap around the edges when pushed off the board, making it topologically a torus.

To make sure my daily puzzles were actually solvable in a reasonable number of moves, I wrote a C++ Bidirectional BFS solver to brute-force the shortest path. But watching the state space explode in my terminal got me wondering about the actual underlying math, and I have no idea how to calculate it.

My two questions for the math community:

1. The Maximum State Space: If all 25 tiles were completely unique (e.g., numbered 1 through 25), what is the total number of reachable board states? I know 25! is roughly 1.55 x 10\^25, but do the wrap-around constraints restrict the reachable states to a smaller subset (like the Alternating Group)?
2. The Duplicate Letter Problem: In the actual game, the tiles are letters. A target word like "APPLE" has two 'P's, and the 20 random filler letters almost always generate duplicates (multiple 'E's, 'S's, etc.). How do you calculate the actual number of visually distinct board states when you have repeating elements?

I have seen AI agents mention terms like "Burnside's Lemma" or "Group Theory" for this kind of thing, but I have no idea how to actually apply them to a 5x5 grid. Any explanations meant for a programmer would be amazing!

Link to the live game: https://rowtate.app

https://redd.it/1raz0lj
@TheyDidTheMath
Lack of actual mathMeta

Recently there has been a surge of non math related answers flooding the comment section of many posts here. More people are answering with "I think xyz will/would happen" instead of actually mathing it out. These kinds of comments get too many upvotes and then drown out the actual math comments. Mods please do something about this issue.

https://redd.it/1razo8t
@TheyDidTheMath
[Request]: Does a human take more energy than an SOTA LLM?
https://redd.it/1rbj3ib
@TheyDidTheMath
[Self] Saw this and my mind immediately went "25 and 50" and comments made me think Im the weird one, does anyone here thinks like this?
https://redd.it/1rgul9r
@TheyDidTheMath
[Request] How much money UK gov owe to this man
https://redd.it/1rga2yy
@TheyDidTheMath
[Request] At the same velocity how much more damage (in megatons of TNT?) would this asteroid do to Earth vs Chicxulub impactor, the one that ended the Dinosaurs in the Yucatán.
https://redd.it/1rgqo0c
@TheyDidTheMath
[Request] How many alcohol pads would you need to soak in water to get drunk?
https://redd.it/1rh1dl5
@TheyDidTheMath
[Request]Winning a round of poker with only a pair of 2's
https://redd.it/1rgq5pi
@TheyDidTheMath
[request] How much storage would be necessary if all iPhone microphones were constantly recording and saving files somewhere?
https://redd.it/1rgbq5a
@TheyDidTheMath
How much money would it cost to connect a steel cable from The Moon to the Earth? [request]
https://redd.it/1rhfs46
@TheyDidTheMath
[Request] In Farkel, how likely is it that your first roll of 6 dice will be "one-off" of a combination that lets you count all 6?
https://redd.it/1rhd2mz
@TheyDidTheMath