Reverse Permutations Explained: Cover One Rogue Result Cheaply

Most pools players understand a straightforward perm — pick a block of doubtful matches, cover every combination that meets your plan, done. Reverse permutations are the next layer up, and they solve a specific, nagging problem: what do you do when you’ve got one fixture you genuinely can’t settle on, but you don’t want to pay for two entirely separate coupons just to cover both outcomes?

The problem reverse perms are built to solve

Imagine you’ve built a solid perm around a set of selections, and it’s covering exactly what you want — except for one fixture where you’re torn between two outcomes. The naive solution is to simply run the whole perm twice, once with each version of that one selection. That works, but it exactly doubles your stake for the week, which is a steep price to pay for hedging a single fixture when everything else on your sheet is identical between the two versions.

A reverse, or conditional, perm structure is designed specifically to avoid that doubling. Instead of two completely separate, non-overlapping perms, it builds a structure where the lines that are identical between both scenarios are only staked once, and only the lines that genuinely differ because of your uncertain fixture are added as extra, smaller cover.

A worked example, step by step

Let’s build this with illustrative numbers rather than any specific operator’s real plan, purely to show the mechanics.

Suppose you have a perm requiring 6 correct results from 8 doubtful selections. The number of lines needed for a standard perm of this size is a combination calculation:

C(8,6) = 8! / (6! × 2!) = 28 lines.

Now suppose one of those eight selections is the fixture you’re unsure about — you want to cover it as either a home win or a draw, and everything else about your eight selections stays the same. Running the entire 28-line perm twice, once for each version, costs 56 lines total — double the single perm cost, even though seven of your eight selections never changed between the two runs.

A reverse perm structure instead recognises that the bulk of those 56 lines are functionally doing the same job. By separating out just the handful of lines where the uncertain fixture’s outcome actually changes which combinations are “live”, you can build a structure that covers both versions of that one fixture for meaningfully fewer than 56 total lines — the exact saving depends on where the uncertain selection sits within your plan, but the principle holds: you’re not paying full price twice for a change that only affects one of your eight picks.

Why this isn’t the same as just lowering your plan

It’s worth being clear about what a reverse perm doesn’t do. It doesn’t reduce your actual coverage of the seven settled selections — those are still covered exactly as thoroughly as in a standard 6-from-8 perm. What it does is avoid treating the one uncertain fixture as if it required an entirely independent, from-scratch second plan. You’re still fully exposed to the maths of needing 6 from 8 correct; you’ve simply stopped paying twice for the parts of the plan that were never actually in doubt.

When a reverse perm is worth the extra complexity

• You have exactly one fixture — not several — where you’re genuinely torn between two specific outcomes.
• Your other selections in the perm are settled enough that you wouldn’t want to pay to hedge them too.
• The cost difference between a standard perm and doubling it is large enough to matter to your weekly budget.

If you find yourself wanting to hedge three or four fixtures at once rather than one, a reverse perm structure stops being the efficient solution — at that point, you’re better off simplifying your selections altogether rather than trying to cover every combination of uncertainty across multiple matches, which escalates in cost very quickly regardless of structure.

A common mistake to avoid

Players new to reverse perms sometimes assume the “extra” lines are free, or close to it. They’re not — they’re genuinely additional lines on top of your base perm, just fewer additional lines than a full second run would require. Always work out the actual total line count for your specific plan before committing, rather than assuming the saving will be dramatic. For a single uncertain fixture in a modest-sized perm, the saving is real but incremental, not transformative.

Checking your maths before you submit

Whichever structure you use, the discipline that matters most is checking your total line count against your intended plan before you finalise the coupon. A mismatched perm — more or fewer lines than you meant to stake — is one of the most common and entirely avoidable coupon mistakes, and it’s worth double-checking every single week, not just when you’re trying something more complex like a reverse structure for the first time.

Keeping perspective

Reverse perms are a genuinely useful piece of coupon mechanics, but they’re a cost-management tool, not a way to improve your underlying odds of winning. You’re still fundamentally betting on football results that no amount of clever structuring can make more predictable. If you’re 18 or over and enjoy building more intricate perms, keep your total weekly stake, reverse structures included, within a budget you set before you start — and make use of UK responsible gambling support if that budget ever starts feeling difficult to stick to.