A full wheel generates all the possible combinations of a set of numbers. Some of the numbers may also be fixed to generate the combinations of the others.
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Full Lottery Wheels

A Full Wheel is simply a generator of all the possible combinations of a set of numbers into group of n numbers, where n is usually the game number (the number of numbers played in the game). For 6/49 lotto, n is 6. Since all the combinations of the set are played, a full wheel guarantees a winning equal to how many of the numbers in the set are winning numbers; if all the winning numbers are in the set then it guarantees a jackpot (and several lower prizes as well). For example, if you play 10 numbers with a full wheel in a 6-number game, and if 5 of the 6 winning numbers coincide with 5 of your 10 favorite, then you will be guaranteed a 5-of-6 winner. In fact you'll have 5 ticket of 5-of-6 winner, 50 tickets of 4-of-6 winners, and 100 tickets of 3-of-6 winners.

The drawback of a full wheel is that the number of combinations generated are too many, thus too expensive. For example, all the possible 6-number combinations of a set of 10 numbers is 210; for a set of 20 numbers it is 38,760. The following calculator will help you figure out the number of plays generated by a full wheel.

Full Wheel Combinations CalculatorUsage
n = N =
Combinations =
Enter the values of n and N and then 'Calculate'
n = How many numbers are selected in the game,
N = How many favorite numbers you have
To wheel 10 numbers for a 6-number game, n = 6 and N = 10.

Note that we have full wheels for every US lottery game, just select your state, then select the game you are interested in then choose 'Combinations Generator' or 'Full Wheel' from the menu.

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Full Lottery Wheel with Fixed Numbers

The full Wheel with fixed numbers is similar to the above full wheel except that some of the numbers are fixed. Fixing some numbers means that those numbers will appear in all the generated lottery tickets, and thus reducing the number of plays generated. The guaranteed wins in this case are equal to the sum of winning fixed numbers and the winning other selections.

The number of tickets generated will depend on how many numbers are fixed. For example, for 6-number combinations of a set of 10 numbers where three of them are fixed, there will be 35 combinations; for a set of 20 numbers with 3 fixed there will be only 680. Notice how the cost of playing the combinations is significantly reduced, but at the cost of reduced chance of winning. Also, notice that if the fixed numbers are not winners, the chance of winning anything will be slim. The following calculator will help you figure out the number of plays generated by a full wheel with fixed numbers.

Full Wheel with Fixed Numbers Combinations CalculatorUsage
n = N = F =
Combinations =
Enter the values of n, N, and F and then 'Calculate'
n = How many numbers are selected in the game,
N = How many favorite numbers you have
F = How many to fix from the N favorite numbers
To wheel 10 numbers with 3 fixed for a 6-number game, n = 6, N = 10, and F = 3.

Note that the full wheels that we have for every US lottery game, also have the option of fixing some numbers. Just select your state, then select the game you are interested in then choose 'Combinations Generator' or 'Full Wheel' from the menu.

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Related pages:
About Lottery wheels
Abbreviated Lottery Wheels
US multi-number games
Lottery odds calculator
Description and classification of United States lottery games
List of US-state lottery games
List of US Multiple-state lottery games




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