QUOTE (crashgate @ Nov 23 2009, 14:58)

there was (sic) three systems
random (50s, 60s early 70)
Actually, it was not "random," simply that the organizing club or promoter assigned the race numbers for their event with little regards for any other event.
In 1964, there was an agreement among the British circuits owners and the fledgling F1CA to assign numbers to be used by the teams at each of the events run for Grand Prix machines in the UK. This is the genesis for how the race numbers for the teams finally settled down in the Seventies. It was an initiative of the F1CA/FOCA and not the CSI/FISA.
Postscript:
Here is what the F1CA and the organizers for the British events for GP/F1 machinery agreed to for the numbering system for their races at the beginning of that season:
Team Lotus
1 / Clark
2 / Arundell
Owen Racing Organisation
3 / Hill
4 / Ginther
Brabham Racing Organisation
5 / Brabham
6 / Gurney
SpA Ferrari SEFAC
7 / Surtees
8 / Bandini
Cooper Car Company
9 / McLaren
10 / Hill (replaced Meyer)
British Racing Partnership
11 / Ireland
12 / Taylor
Reg Parnell (Racing)
14 / Hailwood
15 / Amon
Scuderia Cetnro Sud
16 / Maggs (replaced Hill)
17 / Baghetti
Equipe Scirocco Belge
18 / Pilette
Ian Raby (Racing)
19 / Raby
DW Racing Enterprices
20 / Anderson
R.R.C. Walker Racing Team
21 / Bonnier
Needless to say, while those at the front used this numbering scheme for these events very consistently, at the rear of the grid there was a bit of shifting and sorting around.