A mathematical conundrum has landed at our doorstep, courtesy of a football team's shirt numbers - a curious case indeed! We're tasked with dividing 10 players into three groups: defenders, midfielders, and forwards, with the sum of each group's shirt numbers being divisible by 11. Sounds like an impossible feat? Perhaps.
The coach has a clever idea to tackle this puzzle. By considering all possible combinations of the remaining numbers (excluding the goalkeeper's number 1), we can explore various formations that might satisfy the condition. A combination of trial and error, coupled with some logical thinking, may uncover the answer.
But that's not all - we have another brain-twister on our hands. When it comes to multiplying 11 by consecutive integers, palindromic results abound. What if we extend this sequence up to 11 x 99? Will there be any more answers that read the same forwards and backwards?
Lastly, a divisibility rule for 11 has been shared with us. By alternating addition and subtraction of the digits in a number, followed by multiplication and division, we can determine whether the original number is divisible by 11.
Using each digit from 0 to 9 exactly once, what's the largest possible 10-digit number that satisfies this condition? The puzzle is waiting for your solution.
The coach has a clever idea to tackle this puzzle. By considering all possible combinations of the remaining numbers (excluding the goalkeeper's number 1), we can explore various formations that might satisfy the condition. A combination of trial and error, coupled with some logical thinking, may uncover the answer.
But that's not all - we have another brain-twister on our hands. When it comes to multiplying 11 by consecutive integers, palindromic results abound. What if we extend this sequence up to 11 x 99? Will there be any more answers that read the same forwards and backwards?
Lastly, a divisibility rule for 11 has been shared with us. By alternating addition and subtraction of the digits in a number, followed by multiplication and division, we can determine whether the original number is divisible by 11.
Using each digit from 0 to 9 exactly once, what's the largest possible 10-digit number that satisfies this condition? The puzzle is waiting for your solution.
like trying to find a dial-up internet connection in the age of fibre 
. This one about dividing shirt numbers into groups is super tricky, I mean what's the point of having 11 players if you can't even divide them up neatly? 
And then there's this palindromic sequence thingy... it's like trying to solve a Rubik's cube blindfolded 
. Meanwhile, the divisibility rule for 11 is just like my grandma telling me how to do math in the old days 
. But I gotta say, I love a good brain-twister! 
Can someone please tell me what's the answer to that last question tho? 
.
and that divisibility rule for 11? genius 
. the final question, though... what's with trying to create a 10-digit number using all digits from 0-9 exactly once? it's like a digital puzzle piece 
. gotta try solving it ASAP! 
. For the football team thingy, I'd say try out different combinations of shirts numbers and see what sticks 
. And that last question about the 10-digit number? Hmm... I think you'd be hard-pressed to find a bigger one using each digit from 0 to 9 exactly once 
.
i mean who needs a life when u have 10 players with diff shirt numbers and gotta figure out how to group them without the number 1 being in any group lmao 
idk if i can do it alone lol 
. You're gotta try every combination until you find the solution 
.
. I'd say take your time and think outside the box (or in this case, the number line) 
. It sounds so complicated, but I'm sure it's just a matter of breaking it down step by step 
. And finally, creating that largest possible 10-digit number using all the digits from 0 to 9? That's like trying to solve a Rubik's cube blindfolded 
what if we are never gonna find an answer to that one? 
I wish I could figure it out though, because who wouldn't wanna create the largest possible 10-digit number using digits 0-9 exactly once? 
! Like, who comes up with these things right? A football team's shirt numbers, a math conundrum... anywayz, gotta think outside the box here... 
... gotta think about how we can apply this to those 10-digit numbers. Maybe there's a way to maximize the number while making sure it's divisible by 11?
and yeah, multiplying 11 by consecutive integers has me stoked - palindromes are like, my jam 
they're like a math game and also kinda like a fashion challenge at the same time... so you gotta think about all these numbers and how to group them together in such a way that each team has a number that's divisible by 11. it's kinda mind-bending, but i'm here for it