New Zealand: Lotto
Reduced Wheel 20 of 40 for Lotto — guarantee 2
16 combinations instead of 38760 in the full wheel 20 of 40. Guarantee 2 when 6 of 40 are matched — 100% fewer tickets.
A reduced wheel of 20 numbers is an optimized set of 16 combinations. Each combination contains 6 numbers, as required by the draw.
Guarantee: if any 2 winning numbers are among your 20 chosen numbers, at least one system combination will contain all 2 matches.
How to use: select exactly 20 numbers in the field below (or click "Random"), then click "Create System".
Full system
38 760
combinations C(20, 6)
Wheel system
16
combinations with guaranteed 2-match
Savings
100%
38 744 fewer combinations
Select numbers
Select 20 numbers
Selected 0 of 20
Select exactly 20 numbers from 40 — the wheel system will be composed from them.
This is the most important step: you assume that the winning numbers of the next draw will be among these 20 numbers.
Use past draw statistics, hot or cold numbers for selection, or click "Random".
Wheel System
Lottery system with 20 numbers and guaranteed 2-match
Select 20 numbers in each field or click "Create System" — missing numbers will be chosen randomly.
G on keyboard — create system
Available with Premium
Frequently asked questions
Common questions about the reduced wheel 20 of 40 for Lotto
The reduced wheel contains 16 combinations (tickets) — 100% fewer than the full wheel (38760 combinations for 20 of 6). Each ticket matches the Lotto rules: 6 numbers out of 40.
Guarantee 2 is the minimum number of matches on a single ticket that the wheel ensures if any 2 winning numbers are among your 20 picks. In that case, at least one system ticket is guaranteed to contain all 2 of those matches.
Only the full wheel of 20 numbers (38760 combinations) guarantees the jackpot. The reduced wheel trades that 100 % guarantee for a 100% ticket reduction: it guarantees at least 2 matches on one ticket whenever any 2 winning numbers fall within your 20 picks. The jackpot becomes a strong chance rather than a certainty.
Total cost = 16 tickets × the ticket price. The current ticket price and final total are shown in the boxes above on this page — values are taken from the latest Lotto draw. On average, the 20-of-40 wheel with guarantee 2 is roughly 100% cheaper than full coverage.