Bankers and Floaters: A Worked Example of Perm Cost and Risk

Permed coupons sound complicated the first time someone explains them, but the underlying logic is actually fairly intuitive once you see it worked through with real numbers. This piece builds a complete example from scratch: a banker-and-floater perm, the maths behind its cost, and exactly where the risk hides.

The Basic Idea

A banker is a selection you’re backing with full confidence — it’s included in every single line of your perm, and if it doesn’t come in as predicted, every line built around it fails together. A floater is a selection you’re less certain about, so instead of committing to one outcome, you build lines covering several possible combinations of your floaters coming good. The perm’s job is to generate every valid combination automatically, so you don’t have to write out each line by hand.

Setting Up the Example

Suppose you’ve picked two matches you’re confident will be score draws — these become your bankers, included in every line. You’ve then identified five further matches you think are good score draw candidates, but you’re not confident enough in any single one to back it outright. Rather than picking all five outright and risking the whole perm on one of them letting you down, you decide you only need any three of those five floaters to come in as score draws for the line to succeed.

Working Out How Many Lines That Needs

This is a combinations problem: how many distinct ways can you choose 3 matches out of 5 floaters? The formula is C(n,k) = n! ÷ (k! × (n−k)!), which for 3 from 5 works out as:

C(5,3) = 5! ÷ (3! × 2!) = (5 × 4) ÷ (2 × 1) = 10 lines

Each of those 10 lines includes both fixed bankers plus a different combination of three of the five floaters. Verified with a straightforward count: the ten combinations are every possible way of leaving out two of the five floaters while keeping three, and there are exactly ten ways to choose which two get left out.

Calculating the Total Stake

If each line costs 15p, as a simple illustrative stake unit, the total cost of this perm is:

10 lines × £0.15 = £1.50 total stake

That’s a manageable, clearly understood outlay for covering ten different combinations of your floaters — far cheaper than trying to cover every possible outcome across seven matches without any structure at all, and far more targeted than simply picking seven selections outright and hoping all of them land.

Where the Risk Actually Hides

This is the part newer players often miss. Because both bankers are included in every single line, a banker failing doesn’t just cost you one line — it voids the entire perm, all ten lines at once, since none of them can succeed without both bankers landing. The floaters, by contrast, have built-in redundancy: you don’t need all five to come in, just any three, so a single floater letting you down usually still leaves some winning lines intact.

That table makes the asymmetry obvious: a banker is a much bigger single point of failure than any individual floater, which is exactly why it’s worth being genuinely more confident about banker selections than about floaters before committing to this structure. A banker chosen on a hunch defeats the whole purpose of the perm’s built-in flexibility.

Adjusting the Risk Profile

If you wanted a more cautious perm, you could lower the floater requirement to “any 2 from 5” instead of “any 3 from 5.” That works out as C(5,2) = 10 lines as well, coincidentally the same count in this particular case, but structured so you only need two floaters to land rather than three — a lower bar, generally a safer requirement, though it changes which specific combinations are covered rather than simply making every outcome easier.

• Fewer bankers, more floaters generally means a bigger but more resilient perm.
• More bankers, fewer floaters means a cheaper perm but one far more exposed to a single bad result.
• Always calculate C(n,k) before committing stake, rather than estimating the line count by feel — it’s easy to underestimate how quickly combinations grow as floater numbers increase.

The Core Lesson

A banker-and-floater perm is a tool for expressing different levels of confidence across your selections, not a way to guarantee a return. The maths tells you exactly what you’re paying for and exactly where your risk is concentrated — use that information to genuinely limit your bankers to matches you’d be comfortable backing on their own, not just matches you have a mild preference for.

A Second Worked Example With Three Bankers

To see how quickly the stakes involved change, consider the same five floaters but with three bankers instead of two, still requiring any 3 from 5 floaters to land. The line count doesn’t change — it’s still C(5,3) = 10 lines, since the banker count doesn’t affect the combinations calculation at all, only the floaters do. What changes is the risk concentration: now three fixed selections, not two, must all land correctly for any line to pay out, while the total stake at 15p a line remains the same £1.50. This illustrates an important point that catches people out: adding bankers doesn’t increase your stake, but it does increase how much of your perm’s success depends on selections you’re treating as certainties, which is precisely why experienced players tend to keep banker counts low and genuinely well-justified rather than padding them out to feel more confident about a bigger slip.

It’s also worth sense-checking a perm before submitting it by asking a simple question: if I had to bet each banker individually, on its own, for its own separate stake, would I still be comfortable doing so? If the answer is no for any of your chosen bankers, that selection probably belongs among the floaters instead, where a single miss doesn’t bring down the entire structure.

Staking Sensibly

Perm structures can make a coupon feel more sophisticated, but they don’t change the underlying uncertainty of football results, and a cleverly built perm can still lose in full if a banker fails. Only stake what you’ve budgeted in advance, treat the pools as entertainment rather than income, and remember players must be 18 or over. Free, confidential support is available from UK services such as GamCare for anyone concerned about their gambling.