The 9-From-12 Perm: 220 Lines, Worked Stake and Overlap Maths
The 9-from-12 permutation is one of the more popular full perms because it sits at a genuinely workable size: large enough to spread risk meaningfully across twelve selections, small enough that the resulting stake outlay stays within reach for a regular weekly player. Here is the maths behind it, worked properly rather than quoted from memory.
Where the 220 figure actually comes from
A 9-from-12 perm takes every possible combination of 9 selections out of a pool of 12 matches and turns each combination into its own separate line. The number of these combinations is calculated with the standard formula for combinations, written as C(12,9), which works out as 12 factorial divided by the product of 9 factorial and 3 factorial. Running that calculation gives exactly 220, confirmed directly rather than taken on trust: 220 unique lines, each one a distinct combination of 9 of your 12 chosen matches.
Working out the stake
Once you know the line count, the total outlay is simple multiplication: 220 lines multiplied by whatever unit stake your coupon uses per line. The table below sets out illustrative totals at a few common unit stake levels, purely to show how the maths scales rather than to recommend any specific stake:
| Unit stake per line | Total outlay for 220 lines |
|---|---|
| £0.10 | £22.00 |
| £0.15 | £33.00 |
| £0.20 | £44.00 |
| £0.25 | £55.00 |
These figures scale in a straight line with the unit stake, which makes it easy to work backwards from a budget: divide whatever total you are comfortable spending by 220 to find the maximum unit stake you can afford for this specific perm size.
How much overlap protects you from one weak selection
This is the part of perm maths that matters most in practice. Suppose one of your twelve selections turns out wrong. How many of your 220 lines completely avoid that specific match, meaning they are entirely unaffected by the error? The answer comes from counting combinations of 9 selections drawn from the remaining 11 matches, written as C(11,9), which works out to 55. That means exactly 55 of your 220 lines, a quarter of the full perm, never included the wrong selection at all.
| Metric | Value |
|---|---|
| Total lines (9 from 12) | 220 |
| Lines containing any one specific match | 165 |
| Lines avoiding any one specific match | 55 (25%) |
Why the 165 figure matters too
The flip side of the 55 unaffected lines is the 165 lines that do contain any one given selection, found by subtracting 55 from the total 220. This is useful for a different reason: it tells you how many lines are riding on that specific match being correct. If you genuinely rank your twelve selections by confidence, the maths shows precisely how much is at stake, in terms of your own lines, on your single least confident pick, which is 165 out of 220, or exactly 75%.
Framed together, these two numbers give a complete and honest picture of what a 9-from-12 perm actually protects against and what it does not. It protects a full quarter of your lines against any single wrong selection, which is real and meaningful. It does not protect the other three-quarters, which remain exposed to that same selection being wrong. A perm is risk management through structure, not a way of making a weak pick costless.
Tier fallback: what happens below the top dividend
Treble chance coupons typically pay dividends across more than one points threshold, with a top tier for lines reaching the highest qualifying points total and lower tiers for lines falling just short. Because a 9-from-12 perm spreads your twelve selections across 220 different combinations, it is common for some lines to reach the top tier while others, missing one or two correct selections, land in a lower dividend tier instead. This tiered fallback is part of why perms remain popular even when not every one of the twelve selections lands correctly: a near-miss on one or two selections rarely means the entire outlay fails to return anything, even though it is very unlikely to produce the top dividend.
Putting it together before you commit a stake
- Confirm the exact line count for your chosen perm size using the combinations formula rather than assuming a round number.
- Multiply by your coupon’s unit stake to get the real total outlay before committing to it.
- Rank your selections by confidence and identify which one carries the most risk across 75% of your lines.
- Remember that tiered dividends mean a near-miss is not automatically a complete loss, without assuming any specific payout as guaranteed.
No perm size or combinatorial structure changes the fundamental uncertainty of the football itself, and these figures are a tool for understanding your own stake and exposure, not a prediction of any outcome. Set your total outlay at a level you are entirely comfortable losing before working out your lines, and treat pools as entertainment rather than income. Players must be 18 or over.
A worked illustrative scenario
Imagine building a 9-from-12 perm at a £0.20 unit stake, giving a total outlay of £44 as shown above. After results come in, eleven of the twelve selections land correctly and one does not. Using the maths above, 55 lines, or 25% of the perm, never included the wrong selection and remain fully intact at the highest points total those eleven correct picks can produce. The remaining 165 lines each lose some value depending on how the scoring system weights the specific match that went wrong, but given the tiered dividend structure most treble chance coupons use, a meaningful share of those 165 affected lines will still likely land in a lower dividend tier rather than returning nothing at all. This is precisely the practical value of understanding the combinatorics before committing a stake, rather than discovering it only after the results come in.