Number Digits Problem #1
December 4th, 2008 by SplineGuy
There is a ten digit number where the leftmost digit is also the number of zeros in the number, the second leftmost digit is the number of ones and so forth until the last digit (or rightmost digit) is the number of nines in that number. What is this number and is it unique?
I’ll post my solution tomorrow.
HT: QYV
6210001000
But I just found the answer starting from 9 zeros and worked my way down, not sure what QYV meant (probably forgot)….
Also not sure if it’s unique, but stepping back I’d say yes. If you assume all digits are A through J and A = #(0), B = #(1), etc., then you have 10 variables with 10 distinct answers so it would seem unique. I could have probably continued on down from 6 zeros and discovered whether it is or not, but I’m a busy man.
As that’s not a formal proof it holds little weight, but at least it answers it in my head. hehe.
Sorry for being cryptic but the source of the problem was not me. I found it on someone’s site but I didn’t link directly to it yet (but will on my followup post). The only identifiable name that I could find was “QYV”. So I gave a “Hat Tip” to QYV.
[...] couple of days ago, I posted the following puzzle: There is a ten digit number where the leftmost digit is also the number of zeros in the [...]