Lottery Wheeling Generator

What this generator does

Enumerates every combination of the guarantee size among your numbers, then repeatedly adds whichever line covers the most still-uncovered combinations until none are left. The finished set is checked by enumerating all of them again.

How to use this tool

1. Enter the numbers you want to cover.
2. Set how many go on each line.
3. Choose the guarantee — how many matches you want assured.
4. Read the lines, and the confirmation that every combination is covered.

Understanding the controls

Your numbers

Between 4 and 10. The coverage check enumerates every combination, which grows quickly, so the limit is there to keep it exact rather than approximate.

Numbers per ticket

How many go on each line — six for most national games.

Guarantee

If this many of your numbers are drawn, at least one line holds them all. A higher guarantee needs many more lines.

Common use cases

• Building an abbreviated wheel for a syndicate
• Working out how many lines a given guarantee needs
• Understanding what a wheeling system does and does not promise
• Covering a set of favourite numbers across several lines
• Seeing the trade between guarantee level and line count

How this generator works

This is a covering design problem: cover every combination of the guarantee size using as few lines as possible. The tool solves it greedily, taking the line that covers the most still-uncovered combinations each time, which is not always the smallest possible set but always terminates and always covers everything. Before display every combination of the guarantee size is enumerated again and checked against the finished lines, so a missed one would be reported rather than shipped.

Randomness and fairness

Nothing here is random. A set of numbers and a guarantee give exactly one wheel from this construction.

For how randomness is produced across the whole site, see how Generate Random works.

Limitations and good to know

• Greedy covering is not guaranteed minimal — published wheels sometimes use one line fewer for the same guarantee.
• The guarantee is conditional: it only applies when enough of your chosen numbers actually come up, which is the part it cannot help with.
• Wheeling does not improve your chance of winning the jackpot. Nothing does — the draw is independent of how the lines are arranged.
• Playing more lines costs proportionally more, and the expected return per pound is unchanged.

Privacy and your data

The wheel is computed in your browser and the numbers you enter are never transmitted, stored or included in analytics.