Did you solve it? The numbers all go to 11

Math problems are like puzzles that keep me up at night thinking about 'em ๐Ÿคฏ. I mean, who would've thought that a simple football team problem could turn into this? ๐Ÿ† Anyway, the thing is, when it comes to those numbers 1-11, it's not just about finding a solution, but also understanding the logic behind 'em.

I tried looking at the palindrome thingy and I gotta say, it's kinda cool that the 11 times table has some neat properties ๐Ÿ˜Ž. But what really gets me is how these problems are all connected - like, have you ever stopped to think about the different ways we can use our brains to solve math problems? ๐Ÿค“ It's not just about memorizing formulas or procedures; it's about seeing patterns and connections between seemingly unrelated things.

As for the 10-digit number problem... well, I don't know if I'll be able to crack it, but I'm gonna keep trying ๐Ÿ˜…. Who knows, maybe I'll stumble upon something clever ๐Ÿค”.
 
I gotta say, people are so stuck on the idea that 11 is some kinda special number ๐Ÿคฆโ€โ™‚๏ธ. Newsflash: it's just a prime number, not like it's got some sorta magic power. So yeah, sure, a team of footballers can't be divided into groups with numbers divisible by 11... but that doesn't mean you can't divide them in some other way, genius! ๐Ÿ˜‚ And as for the palindrome thing, I don't get why people are so excited about it... multiplying 11 x any number will always result in a number that ends in either 1 or 2, so yeah, there's a ton of palindromes out there.

Now, the 10-digit puzzle? Forget about it, folks ๐Ÿ™„. If you think you can crack it just by trying all possible combinations, good luck with that... I mean, where do you even start? ๐Ÿ˜‚ The solution is actually pretty straightforward once you understand how the divisibility rule for 11 works: just make sure the alternating sum of odd-position and even-position digits is divisible by 11. Not exactly rocket science ๐Ÿš€.

Anyway, go ahead and waste your time trying to solve these puzzles... I'll be over here, solving actual hard math problems that nobody cares about ๐Ÿ˜Ž.
 
Ugh I'm so confused ๐Ÿคฏ is that math even real? like how can the answer not just be some easy number lol and what's with palindromes everyone uses that term like it's super common and cool ๐Ÿ˜‚ I mean I thought 11 x times table was the only one that was cool, but now there are so many more ๐Ÿค”
 
๐Ÿค” I'm impressed by the team's determination, but let's be real, 65 is a tough number to crack when it comes to grouping players into teams ๐ŸŸ๏ธ. I mean, can you imagine trying to fit that many people into defenders, midfielders, and forwards? It's like trying to solve a Rubik's cube blindfolded ๐Ÿ˜….

As for the palindromes, I love the simplicity of the 11 x times table. But let's not get too caught up in nostalgia โ€“ there are way more complex math problems out there ๐Ÿค“. The 10-digit number puzzle is a good one, though. I'm intrigued by how close that second solution gets to being divisible by 11. It's like they're just a hair away from cracking the code ๐Ÿ”€.

I think what makes these puzzles so challenging is that they require us to think outside the box (or in this case, the team groups). We need to find creative solutions that take into account all the constraints ๐Ÿค”. So, will I be able to crack them? Maybe not in a single sitting, but I'll definitely give it a shot ๐Ÿ˜Š!
 
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