Perm Plans Explained: Working Out Lines and Costs for 8/10 and 8/11
Perm plans are where the football pools quietly turn into a maths exercise, and it’s an exercise worth doing properly rather than trusting the number printed on the coupon. Understanding exactly how “8 from 10” becomes 45 lines, and why “8 from 11” becomes 165, makes it far easier to budget sensibly and to choose a plan that actually suits your bankroll rather than one that simply sounds impressive.
What a Perm Actually Does
A standard treble chance entry asks you to pick a fixed number of matches — commonly eight — that you believe will produce the results that score best (draws, then score draws especially). A perm, short for permutation, lets you select more than eight matches and then automatically covers every possible combination of eight drawn from that wider list. Instead of backing one specific set of eight games, you’re backing several sets simultaneously, which spreads your selection risk across a larger pool of matches at the cost of staking more lines.
The Combinations Maths, Shown in Full
The number of lines a perm generates is a straightforward combinations calculation, written as C(n, k), where n is the total number of matches you’ve selected and k is the number the plan requires you to choose from them (typically 8). The formula is:
C(n, k) = n! ÷ [k! × (n − k)!]
Example One: 8 From 10
Here n = 10 and k = 8, so the unused portion is (n − k) = 2.
- C(10, 8) = 10! ÷ (8! × 2!)
- Which simplifies to (10 × 9) ÷ (2 × 1) = 90 ÷ 2 = 45 lines
So selecting 10 matches and asking the system to cover every possible group of 8 produces 45 separate lines. If a single line costs an illustrative 10p, a full 8-from-10 perm would cost 45 × 10p = £4.50 for that example stake level. Real coupon unit prices vary, so always check the current stake per line before committing.
Example Two: 8 From 11
Now n = 11 and k = 8, leaving (n − k) = 3.
- C(11, 8) = 11! ÷ (8! × 3!)
- Which simplifies to (11 × 10 × 9) ÷ (3 × 2 × 1) = 990 ÷ 6 = 165 lines
Adding just one extra match to your selection — going from 10 to 11 — more than triples your line count, from 45 to 165. At the same illustrative 10p-per-line stake, that’s £16.50 rather than £4.50. This jump is the single most important thing to understand about perms: the growth in lines is not linear, it accelerates sharply as your selection pool widens.
A Quick Reference Table
| Selection (matches chosen) | Covering (k) | Lines (C(n,k)) | Illustrative cost at 10p/line |
|---|---|---|---|
| 9 | 8 | 9 | £0.90 |
| 10 | 8 | 45 | £4.50 |
| 11 | 8 | 165 | £16.50 |
| 12 | 8 | 495 | £49.50 |
Notice the pattern: each additional match roughly triples or quadruples the line count once you’re past ten selections. That escalation is exactly why experienced players treat perms with 12 or more matches as a specialist, higher-outlay approach rather than a casual weekly habit.
Why the Maths Changes How You Should Plan
A perm doesn’t improve your odds of any individual match producing a draw. What it does is reduce the damage done by getting one or two selections wrong within your wider pool, because the plan still generates winning lines from the other combinations that didn’t include your mistaken picks. The trade-off is cost: you are, in effect, paying for insurance against your own selection errors, and that insurance gets dramatically more expensive as your chosen pool grows.
A sensible way to decide between an 8/10 and an 8/11 perm, or indeed a straight 8-match single line, is to work backwards from your weekly budget rather than forwards from how many “good” matches you think you’ve spotted:
- Decide the maximum you’re comfortable staking that week, in full.
- Divide that figure by your coupon’s per-line stake to find your maximum affordable line count.
- Check the combinations table (or calculate C(n,8) yourself) to see which perm size fits inside that number.
- If nothing fits comfortably, drop down a size rather than stretching the budget.
A Worked Budget Example
Say your weekly pools budget is an illustrative £15 and your coupon’s per-line stake is 10p. That gives you a ceiling of 150 lines. An 8/11 perm at 165 lines is just over budget; an 8/10 perm at 45 lines leaves plenty of headroom, and you could even consider a block perm or a slightly larger single-match selection within the 150-line ceiling instead. Running this kind of check before you submit a coupon, rather than after, is the difference between a comfortable weekly habit and an accidental overspend.
Keeping It Recreational
Perms are a legitimate way to structure your selections, but the maths above makes clear they can escalate in cost quickly if you’re not paying attention. Treat your pools stake, perm or otherwise, as a fixed entertainment budget you’ve decided on in advance, never as money you need back. The pools are for over-18s, and if staking ever starts to feel like pressure rather than a bit of weekend fun, it’s worth stepping back and seeking confidential advice from a UK gambling support organisation.