I got to thinking about this one the other day.

If I wanted to arrange any group of numbers imaginable how would I track the exact order of them.

I would start ascending order and then go from there.

ABC , ACB , BAC , BCA , CAB , CBA

an example of a group

ABC

006,008,026,028,046,048
226,228,246,248,446,448

ACB

060,080,062,082,064,084
262,282,264,284,464,484

BAC

006,008,206,208,406,408
226,228,426,428,446,448

BCA

060,080,260,280,460,480
262,282,462,482,464,484

CAB

600,800,602,802,604,804
622,822,624,824,644,844

CBA

600,800,620,820,640,840
622,822,642,842,644,844

 

Groups with doubles in them will have duplication of exact order.
Decide wether you want to keep the duplication of the doubles or elimate the duplication from one set.

 

ABC

006,008,026,028,046,048
226,228,246,248,446,448

ACB

060,080,062,082,064,084
262,282,264,284,464,484

BAC

206,208,406,408
426,428

BCA

260,280,460,480
462,482

CAB

600,800,602,802,604,804
622,822,624,824,644,844

CBA

620,820,640,840
642,842

Now as part of our tracking of any number group imaginable we can track exact order of the group.