DidTheMath – Telegram
[Request] How many years would an average American earning $60k need to work to match Elon Musk’s net worth, even after inflation?
https://redd.it/1r9vd3d
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[Other] How much power could be generated if you ignited this ingot and used it to boil water to spin turbines?
https://redd.it/1ra01zj
@TheyDidTheMath
[Request], does it take 22 years to count out 243 million numbers?
https://redd.it/1ra38lz
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[Request] What would happen if this hit Earth? How many Hiroshima bombs worth is this impact?
https://redd.it/1r9l36i
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RequestIf you were to jump out of an airplane fully strapped to mattresses, how many mattresses would you need before you didn't die on impact?

Assume a really good quality memory foam, not like a shitty box spring. Please help me settle this debate.

https://redd.it/1raal5c
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[Request] How many prenoscription drug names are realistically possible?
https://redd.it/1r9zvc9
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[RDTM] Now that’s trippy
https://redd.it/1rarl2n
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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
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[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