| Author |
 Replies: 9 / Views: 1,586 |
|
|
Pillar of the Community
Canada
5241 Posts |
Here is a list of the number of US banknotes that have certain numbers of digits in the serial number. There has been past discussion of the rarity of binary, trinary, etc banknotes:
The numbers are for each letter combination, and the results are the same for any 8 digit serial number.
As you can see, 40% of all banknotes of 6 different numbers.
These are my own calculations, so error correction is welcome.
For the statistically inclined, I have more details.
Unary (all numbers the same) 10
Binary (2 different numbers) 11,430
Ternary or Trinary (3 different numbers) 695,520
Quaternary (4 different numbers) 8,573,040
Quinary (5 different numbers) 31,752,000
Senary (6 different numbers) 40,219,200
Heptary (7 different numbers) 16,934,400
Octal (all 8 numbers different) 1,814,400
Total 100,000,000
PS: The word heptary is the only word I had to make up.
Edited by oriole
12/27/2016 6:41 pm
|
|
|
|
Pillar of the Community
 United States
4592 Posts |
-----Burton 50+ year / Life / Emeritus ANA member (joined 12/1/1973) Life member: Numismatics International, CONECA Member: TNA, FtWCC, NETCC, EveryCountry (online) coin club Owned by three cats and a wife of 40+ years (joined 1983) Author: 3rd Edition of the Sample Slabs book, https://www.sampleslabs.info/ |
|
Pillar of the Community
 Canada
5241 Posts |
I thought about that, @Bstrauss3. Mine are just what is possible from a mathematical point of view. A maximum number.
|
|
Bedrock of the Community
Canada
11922 Posts |
Very interesting list. I have one question though... Quote:
Unary (all numbers the same) 10 Would that not only be nine? Although eight zeros would theoretically be possible, no all-zero banknotes should exist due to the fact that the first note printed would be the first note, and not the zeroth. |
|
Bedrock of the Community
United States
12477 Posts |
Quote:
PS: The word heptary is the only word I had to make up. I had to look it up but I think it's Septenary. Nice analysis. I love random statistics that have little use! For real, I'm not joking. In Memory of Crazyb0 12-26-1951 to 7-27-2020
In Memory of Tootallious 3-31-1964 to 4-15-2020
In Memory of T-BOP 10-12-1949 to 1-19-2024
|
|
Pillar of the Community
United States
4637 Posts |
Do a chart that shows percentage of possible radar and full ladder notes.
|
|
Bedrock of the Community
United States
94367 Posts |
Yes, I'd like to see that as well!
No wonder math was never my strong suit.
|
|
Pillar of the Community
United States
800 Posts |
|
|
Bedrock of the Community
United States
12477 Posts |
Nice article. That certainly saves oriole from the grunt work.
In Memory of Crazyb0 12-26-1951 to 7-27-2020
In Memory of Tootallious 3-31-1964 to 4-15-2020
In Memory of T-BOP 10-12-1949 to 1-19-2024
|
|
Pillar of the Community
Canada
5241 Posts |
@Joseph7420, yes, you are right that there are in fact only 9. My chart is the theoretical number and excludes the ones that in practice are not made, although they could be in theory. And, and someone pointed out, for some letter combinations not all the 100,000,000 possible are printed.
The article I think satisfies everyone's needs for statistics on radars and ladders.
Anyway, I am glad that I was able to amuse at least one person with more or less useless statistics. They might be useful in determining what serial numbers are rare enough to bother saving. I was kind of inspired by someone's post about ternary or trinary notes. Since they are nearly 1 in every hundred notes, it seems that they are far too common to bother with. Binary are nearly as rare as radar notes, just not always with interesting patterns.
|
| |
Replies: 9 / Views: 1,586 |
|
Posted 12/27/2016 8:32 pm
