Banker Selections Explained: Anchoring Your Perm Budget

Of all the jargon a new pools player has to learn, “banker” is one of the most useful to properly understand early, because it’s the single biggest lever for keeping a perm affordable without abandoning ambition altogether.

What a banker actually is

A banker is a selection you’re treating as effectively certain — a match you’re confident enough in to assume it will land as predicted, and then exclude from the combinatorial permutation covering your other, genuinely doubtful selections. Instead of permin every single match in your plan equally, you’re saying: “this one I trust, cover the uncertainty elsewhere.”

This matters because, as the maths of permutations shows clearly, the number of lines required grows very quickly as your pool of doubtful matches grows. A banker shrinks that pool by exactly one, which has an outsized effect on total cost compared with how small a change it looks on paper.

The maths, worked through properly

Suppose your plan requires 6 correct results and you’ve identified 9 matches you consider genuine doubtfuls, with no banker. The number of lines needed is:

C(9,6) = 9! / (6! × 3!) = (9 × 8 × 7) / 6 = 84 lines.

Now suppose, instead, you identify one of those nine matches as a banker — a selection you’re confident enough to lock in rather than treat as doubtful. Because the banker is assumed correct, it effectively uses up one of your six required correct results, leaving you needing 5 correct results from the remaining 8 doubtful matches:

C(8,5) = 8! / (5! × 3!) = (8 × 7 × 6) / 6 = 56 lines.

That’s a reduction from 84 lines to 56 lines — a saving of exactly a third — achieved by locking in just one confident selection rather than treating all nine matches as equally uncertain. This is the core appeal of bankers: a relatively small, disciplined act of confidence produces a disproportionately large saving in overall stake.

The catch that makes bankers risky

Here’s the part that’s easy to underweight when the maths looks so appealing: if your banker selection is wrong, the entire perm is compromised, regardless of how well the rest of your doubtful matches perform. You haven’t just lost one selection out of many — because every single line in your 56-line perm assumed that banker was correct, a wrong banker can undermine the entire structure’s qualifying logic for that week, not just one slice of it.

This is why experienced players reserve banker status specifically for selections they have genuinely strong conviction in — not just a fixture they have a mild lean toward, but one backed by real, specific reasoning: dominant recent home form against similar opposition, a huge gulf in squad quality, or a side with everything to play for against one with nothing. A banker chosen on a hunch defeats the entire purpose of the structure.

Multiple bankers: proceed with extra caution

It’s possible to lock in more than one banker, shrinking your doubtful pool further and your line count further still. The maths compounds the saving nicely — but it also compounds the risk in exactly the same way. Two bankers both need to be correct for your perm’s qualifying logic to hold as planned, which is a meaningfully higher bar than one banker alone. As a rough discipline, most experienced players treat two bankers as a reasonable ceiling for a standard-sized perm, and reserve three or more for weeks with genuinely unusual, strong conviction across multiple fixtures — which, honestly, are rare.

A side-by-side comparison

The pattern is consistent: each additional banker reduces both n and k by one, and the line count keeps falling — but so does your margin for error, since every banker now needs to land correctly for the whole structure to deliver as planned.

A sensible way to choose a banker

• Pick the single fixture on your sheet with the clearest, most specific reasoning behind it — not simply your “favourite” team of the week.
• Check team news as close to kick-off as possible before finalising — a late injury to a key player is exactly the kind of thing that turns a solid banker into a shaky one.
• Resist the temptation to add a second or third banker purely to save money if your conviction in those extra picks isn’t genuinely as strong as your first.

Closing thought

Bankers are one of the most effective budget tools available to a pools player, but they work by concentrating risk, not eliminating it. Treat the saving as a trade-off you’re consciously accepting, not a free upgrade. If you’re 18 or over and building perms with bankers, keep your overall weekly stake within a limit set in advance, and use UK responsible gambling support if you’d like extra help keeping that limit firm.