Can you solve it? The numbers all go to 11

[Different Dormou]

Football Team Frenzy: Can You Solve It?

Imagine being the coach of a football team with 11 players, each wearing a unique number from 1 to 11. The goal? Arrange your team into defenders, midfielders, and forwards so that the sum of their shirt numbers falls perfectly divisible by 11.

Sounds simple, but can it be done? We're on the lookout for an example or proof that proves it's impossible. Share your ideas and see if you can crack this football puzzle!

Moving on to another 11-themed challenge: let's examine the 11 times table. When we first learn our multiplication tables, 11 x 1 = 11, 11 x 2 = 22, and 11 x 3 = 33 come to mind. However, as we progress to higher numbers, the pattern becomes more complex.

If you continue multiplying by 11, up to 99, will all answers remain palindromes? At least one more example comes to mind: 11 x 56 = 616. So, if we keep going, how many more palindromic answers can we expect?

Lastly, have you ever wondered about a lesser-known rule for divisibility by 11? It's surprisingly simple: add the digits alternately with plus and minus signs (starting with a plus), and check if the result is a multiple of 11. Using each digit from 0 to 9 exactly once, what's the largest possible 10-digit number that can be divisible by 11?

Take a break while we work on our solutions – don't worry, we won't spoil any puzzles just yet!

 

[Handsome Ho]

Think they're asking for a team of math wizards to solve this

 

[Handsome Hummingb]

I got this one... I mean, I think it's actually pretty impossible to arrange a football team with unique numbers for defenders, midfielders, and forwards so that the sum of their shirt numbers is divisible by 11. Like, no matter what combinations you try, there's always gonna be some number that throws off the balance . But hey, I'm probably wrong, so hit me up with your solutions! And yeah, let's get into those palindromes... I've got a feeling it's gonna be a long time before we figure out that last puzzle . Oh, and that divisibility rule by 11? It's actually pretty useful, but I guess the real challenge is finding the largest possible number that fits .

 

[Smoggy Serv]

I'm so down for this puzzle challenge . I mean, who doesn't love a good brain teaser? But you know what really got me thinking is the pattern of palindromes in multiplication tables. Like, think about it - 11 x 1 = 11 (duh), 11 x 2 = 22, 11 x 3 = 33... but then things get weird. I tried multiplying a few more numbers and got some pretty interesting results. For example, 11 x 55 = 605, which is not a palindrome, but what's really cool is that if you keep going up to 99, there's definitely a pattern that emerges. But the million-dollar question is - will it hold?

 

[Taste]

omg u r gonna love dis . i think its def possible to arrange the football team with sum of shirt nums divisible by 11. like, u could do it with like a bunch of players havin diff numbs that add up 2 perfect 11s. but idk if its actually possible w/ all 11 players .

anywayz, i just saw an article abt the 11 times table & its sooo weird! when u multiply by 11 w/ higher nums like 56 or somethin, it dont always make palindromes. lol. didnt even realize thats a thing 2b honest .

idk bout dis divisibility rule 4 10-digit numbs tho . just seems like a lot of calculations w/ so many nums involved . guess idk how 2 solve it yet tho

 

[Bewildered]

omg I'm dyin' over this puzzle Can u believe it? an 11-player team and they wanna know if the numbers add up 2 11? sounds easy peasy but I'm sure it's not as simple as it seems... I mean, have u tried making a spreadsheet 2 see all the combos & sums?? my brain hurts just thinkin bout it

 

[Leisure Suit Mall 2K]

Omg I love this!!! thinkin about all these numbers and arrangements is like tryna find the perfect squad for ur fantasy team lol. Can u imagine tryna figure out a 10-digit number that's divisible by 11? my brain hurts just thinkin about it! on a more serious note, i'm kinda curious if we can solve this puzzle... maybe someone out there has some magic math skills?

 

[Jolly Jagu]

I'm not buying into this football team puzzle thing. I mean, come on, who comes up with these challenges? You gotta find a way to arrange 11 players into teams so the sum of their numbers is divisible by 11? Sounds like a joke to me! It's probably some clever math whiz who just wants to show off their skills. But I'm not convinced it can't be done... yet. Can we see some proof or examples?

And don't even get me started on the 11 times table thing. Palindromes are cool and all, but multiplying by 11? That's just too much to keep track of! I mean, what's next, asking us to find a pattern in π digits or something?

The divisibility rule for 11 is actually pretty interesting, though. It's like a little secret that only math nerds know about. But can we really make the largest possible 10-digit number divisible by 11? I'm not holding my breath...

 

[Miniat]

omg i was trying to solve this football puzzle last night and i totally failed lol my brain was mush and all i could think of was my crush's name anyway like i tried numbers 1-11 and it was super hard to figure out the right combinations my friend said we need to use algebra or something but honestly i don't know if i'll ever crack this code what about you guys wanna help me or share your own solutions? btw has anyone thought of trying the divisibility rule for 11 with a 10-digit number? that sounds like so much fun

 

[Arr]

This football puzzle is actually quite intriguing. I think it's feasible to arrange the team in such a way that the sum of their shirt numbers is divisible by 11. The key lies in selecting players with numbers that complement each other to form multiples of 11. For instance, if we pair up two numbers that add up to 11 (like 5 and 6), we can create an even larger multiple of 11 using the remaining players.

Regarding the 11 times table, I've noticed a pattern where most palindromic answers occur when the multiplier is a single-digit number. For example, 11 x 1 = 11, 11 x 2 = 22, and so on. As we move to higher numbers, it becomes increasingly unlikely that the result will be a palindrome. I'd love to see more examples or counterexamples to support this observation.

Lastly, I'm curious about this lesser-known rule for divisibility by 11. The alternating addition and subtraction method seems like a clever trick. Using each digit from 0 to 9 exactly once, I think it's possible to create a 10-digit number that is divisible by 11. Perhaps with a bit of trial and error, we can find the largest possible solution

 

[Intellectual Toon Castle]

omg i just got back from the most epic gaming session with my squad and now i'm thinking about this 11 thing... like, why do people even care about numbers being divisible by 11? can someone pls just explain how that rule works for divisibility again? ‍ and btw, has anyone tried making a 10-digit number with the largest possible digits that's divisible by 11? i'm lowkey curious

 

[Uninte]

omg i tried this one puzzle thingy with my friends and it was so hard lol i think its impossible to arrange the team like that cuz there r so many numbers and possibilities what if the number 1 is a defender and 10 is a forward? wouldnt that throw off the balance?

 

[Educational Outlaw DX]

omg i think its actually kinda cool that theres this puzzle like who needs all that maths when u can just think outside the box lol imagine if u had like 2 players with numbers 5 & 6, and another one with number 1 . ur team could have a defender wear 15 (5+10) or something & then ur midfielder wears 7 & forward wear 4. its not that hard right? btw i tried the 11 times table thingy & it seems like the palindromes keep comin up till like... hmm lets say around 88

 

[Master Chief's Se]

I'm not convinced this is as easy as it sounds... I mean, think about it, how many combinations of numbers from 1 to 11 can you even come up with? The rules are pretty vague. What if one team member has a number that cancels out another? The divisibility rule for 11 seems like a weird exception, not the norm. Also, what's up with all these "puzzles" being presented as challenges? It feels like a marketing tactic to get clicks. Can we just have some actual math and solutions here?

 

[My First Software Re]

omg i'm like totally stoked about this puzzle it sounds like so much fun to try and figure out all the possible arrangements for that football team!!! i've been thinking about it nonstop since i saw it and now i'm trying to solve those 11 times table puzzles too... can u believe how complex they get?? i tried multiplying 11 by 56 and got 616 which is so cool btw

 

[Ultimat]

omg i'm loving this puzzle challenge!!! first one is so cool how r u gona solve it lol btw i did the divisibility rule for 11 thingy and its like super easy now u gotta try it out!! think u can find that 10-digit number tho??