Oldfast wrote:That's interesting grit. I dunno if I'd necessarily want it... but I am curious;
how many pages roughly would it be if you were to print out this spreadsheet?
Oldfast - it looks like the whole thing comes out to about 45 pages printed. You could play with the font and layout and get it smaller, but that's what it's at right now.
Maybe I should just post the interesting conclusions:
The total number of possible combinations is at a relatively paltry 838.
The combinations fall into the following distribution:
combinations with 1 number: 10
combinations with 2 numbers: 45
combinations with 3 numbers: 120
combinations with 4 numbers: 209
combinations with 5 numbers: 247
combinations with 6 numbers: 123
combinations with 7 numbers: 56
combinations with 8 numbers: 21
combinations with 9 numbers: 6
combinations with 10 numbers: 1
I figure a large number of people using these lock boxes will choose a 4 number combination - 209 isn't such a huge keyspace that it would take very long to brute force an answer.
If anyone concerned with security wants to choose a secure combination, they should choose a 5 number combo, as they get a slight (38 combo) advantage over 4 number combos.
I figured all of this out by exhaustively listing all possible combos. I haven't been able to find a mathematical model to describe the keyspace. Anyone have any ideas how to succinctly express this keyspace?