CT can have, in theory:
Each term: 1 skill level
1st term: +1 skill level
Commission: +1 Skill level
Promotion: +1 Skill level
Service skill (aka R0) : +1 Skill Level
Rank skill R1: +1 Skill level
Rank skill R2: +1 Skill level
7 max for term 1 basic, +3 max per additional term to term 5, +1 max per term after. But note, no CT Bk1 career has more than 2 Rank/service skills, and only one S4 skill has 3 (Barbarian), and they are ranks 0, 2 and 5...
So in practice, it's 6 maximum for term 1, and 3 maximum for one additional term, and 2 maximum for 3 additional terms, and then 1 additional thereafter.
Plus not more than (Terms+(rank/2))-1 for mustering out benefits converted from weapon to skill (as the first MUST be taken as the weapon).
So:
CT Bk 1 practical (Max Career + Max Convert)
T1 Min 2, Max 7 (6+1)
T2 Min 3, Max 11 (9+2)
T3 Min 4, Max 15 (11+4)
T4 Min 5, Max 19 (13+6)
T5 Min 6, Max 22 (15+7)
T6 Min 7, Max 24 (16+8)
T7 Min 8, max 26 (17+9)
T8 Min 9, Max 28 (18+10)
MgT Maximum from generation
Term 1: 11 Level 0 (5 max background, 6 max career)
+ 1-7 Level 1... 1 survival, 0-1 event, and 0-1 advancement, +0-2 rank skills, +1 skill from end of service campaign skill pack, +0-1 skills from connection
2nd term: 1-5... +1 survival, 0-1 event, 0-1 advancement, +0-1 rank skills, +0-1 connection skill.
3rd to 6th terms: 1-4 ... +1 survival, +0-1 event, +0-1 Advancement, +0-1 rank skills
7th+ terms: 1-2... +1 surival, +0-1 event
Practical: I don't see any core rules careers with more than 4 available rank skills, including enlisted 0.
Which changes the line 3-6 to 3-4, and 7+ to 5+.
For:
Character: 3-11 Level 0 skills and levels from
Term 1: 2-9... 2-8 skill Levels + 0-1 conversions from MOB
Term 2: 3-15... 3-13 total skill levels + 0-2 conversions
Term 3: 4-23... 4-19 Total skill levels + 0-4 conversions
Term 4: 5-28... 5-23 total skill levels + 0-5 conversions
Term 5: 6-32... 6-25 TSL + 0-7 conversions
Term 6 7-35... 7-27 TSL + 0-8 conversions
Term 7: 8-38... 8-29 TSL + 0-9 conversions
Term 8: 9-41
MT, for reference, adds 4 to the maximum term 1 (SD, BS Promo, BS Commission, and BS SD), and 3 to the maximum each term through 5, and 2 thereafter. It also adds 0-4 level 0 skills. And it adds an additional potential conversion each term due to double terms in MOB.s
Comparing, including conversions from TSL, and ignoring advanced...
T1: CT 2-7, MT 2-12, MGT 2-9
T2: CT 3-11, MT 3-21, MGT 3-15
T3: CT 4-15, MT 4-28, MGT 4-23
T4: CT 5-19, MT 5-36, MGT 5-28
T5: CT 6-22, MT 6-43, MGT 6-32
T6: CT 7-24, MT 7-48, MGT 7-35
T7: CT 8-26, MT 8-53, MGT 8-38
T8: CT 9-28, MT 9-57, MGT 9-41
The averages, however, are generally lower CT averages about 1+(1.3*Terms), MT about 1+(1.8* terms), and MGT about 1+(1.6*terms)
Oh, and Bk5/MT advanced? It's possible to get up to 3 years with 5 skills each for each available school, and 1 per year otherwise... I had a character who hit school each year for 6 years runnning, and got most of them... and had 28 skill levels in two terms. He died year one of term 3... (After 3 times, further trips are as instructor, for 1 level of instruction instead.) I've also seen 5 term retirees with 3 skill levels and no attribute receipts....
Just so y'know.