A wheel is set of combinatoric permutations setup to give a minimum winning set of numbers based on a few conditions.
As an example: Let's say you have 15 numbers you like to play in a Pick 5 of 31 Numbers game and you'd like to be sure you have a winning play with 3 numbers if you match 4 of the drawn numbers to your 15 numbers you've selected.
The wheel would be arranged in such a way as to put those 15 numbers you select in playable combinations that would guarantee you'd have at least one play with 3 winning numbers; provided 4 of the drawn numbers are among the 15 you selected.
It works by substituting your numbers in to the wheel; which is a set of combinations that are typically 1-15.
Below is an example wheel with a set of conditions.
Wheel
· Pick 5 of 15 Numbers used to
· Generate 42 Combinations from a
· Total of 3,003 Possible Combinations
· Build Time - 00:00:00.0468
· Created 2017-08-11 10:29:12
Condition
· If 4 Drawn Numbers are in the Set of 15 Numbers,
· Then at least 1 Combination has 3 Winning Numbers.
Numbers
· 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15
· 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15
__________________________________________________________________
01 02 03 04 12
03 06 10 12 15
01 05 07 08 15
05 08 11 12 14
04 05 08 09 10
01 02 03 13 14
01 02 06 10 14
01 03 11 12 15
03 04 05 11 13
02 07 11 13 14
01 02 09 10 15
02 03 06 09 14
04 09 12 14 15
04 05 06 09 11
04 07 08 11 14
05 06 13 14 15
05 07 10 12 14
03 07 13 14 15
01 02 03 08 09
01 03 09 10 11
04 06 10 11 13
03 04 10 14 15
06 07 12 13 14
01 04 06 07 13
02 06 09 12 13
02 04 07 12 15
04 08 09 13 15
02 08 11 14 15
09 10 13 14 15
01 02 03 05 11
02 05 07 10 13
01 03 06 08 13
03 07 09 10 12
02 04 05 09 14
01 03 07 09 14
05 10 11 13 15
01 05 06 10 12
03 06 07 11 15
02 06 07 08 09
01 05 08 09 13
04 08 10 12 13
03 05 09 11 15
__________________________________________________________________
Let's say you pick these 15 numbers: 02 03 06 09 10 11 13 16 18 19 20 22 24 27 28
You would insert those numbers in to the wheel like this: 01 = 02, 02 =03, 03 = 06 ... 13 = 24, 14 = 27 and 15 = 28.
And it would look like the following.
Each of the lines are now a playable set of combinations.
Wheel
· Pick 5 of 15 Numbers used to
· Generate 42 Combinations from a
· Total of 3,003 Possible Combinations
· Build Time - 00:00:00.0468
· Created 2017-08-11 10:29:12
Condition
· If 4 Drawn Numbers are in the Set of 15 Numbers,
· Then at least 1 Combination has 3 Winning Numbers.
Numbers
· 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15
· 02 03 06 09 10 11 13 16 18 19 20 22 24 27 28
__________________________________________________________________
02 03 06 09 22
06 11 19 22 28
02 10 13 16 28
10 16 20 22 27
09 10 16 18 19
02 03 06 24 27
02 03 11 19 27
02 06 20 22 28
06 09 10 20 24
03 13 20 24 27
02 03 18 19 28
03 06 11 18 27
09 18 22 27 28
09 10 11 18 20
09 13 16 20 27
10 11 24 27 28
10 13 19 22 27
06 13 24 27 28
02 03 06 16 18
02 06 18 19 20
09 11 19 20 24
06 09 19 27 28
11 13 22 24 27
02 09 11 13 24
03 11 18 22 24
03 09 13 22 28
09 16 18 24 28
03 16 20 27 28
18 19 24 27 28
02 03 06 10 20
03 10 13 19 24
02 06 11 16 24
06 13 18 19 22
03 09 10 18 27
02 06 13 18 27
10 19 20 24 28
02 10 11 19 22
06 11 13 20 28
03 11 13 16 18
02 10 16 18 24
09 16 19 22 24
06 10 18 20 28
__________________________________________________________________
We can check the wheel for a draw like: 02 05 11 18 27
You can see the guarantee was met and more with 3 lines that have 3 winning numbers.
Wheel
· Pick 5 of 15 Numbers used to
· Generate 42 Combinations from a
· Total of 3,003 Possible Combinations
· Build Time - 00:00:00.0468
· Created 2017-08-11 10:29:12
Condition
· If 4 Drawn Numbers are in the Set of 15 Numbers,
· Then at least 1 Combination has 3 Winning Numbers.
Numbers
· 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15
· 02 03 06 09 10 11 13 16 18 19 20 22 24 27 28
Numbers Checked in Any Position
· 02 05 11 18 27
Matched 4 Numbers
· 02 11 18 27
Matched Distribution
· 0 1 2 3 4 5
· 5 18 16 3
__________________________________________________________________
02 03 06 09 22 » 1
06 11 19 22 28 » 1
02 10 13 16 28 » 1
10 16 20 22 27 » 1
09 10 16 18 19 » 1
02 03 06 24 27 » 2
02 03 11 19 27 » 3
02 06 20 22 28 » 1
06 09 10 20 24 » 0
03 13 20 24 27 » 1
02 03 18 19 28 » 2
03 06 11 18 27 » 3
09 18 22 27 28 » 2
09 10 11 18 20 » 2
09 13 16 20 27 » 1
10 11 24 27 28 » 2
10 13 19 22 27 » 1
06 13 24 27 28 » 1
02 03 06 16 18 » 2
02 06 18 19 20 » 2
09 11 19 20 24 » 1
06 09 19 27 28 » 1
11 13 22 24 27 » 2
02 09 11 13 24 » 2
03 11 18 22 24 » 2
03 09 13 22 28 » 0
09 16 18 24 28 » 1
03 16 20 27 28 » 1
18 19 24 27 28 » 2
02 03 06 10 20 » 1
03 10 13 19 24 » 0
02 06 11 16 24 » 2
06 13 18 19 22 » 1
03 09 10 18 27 » 2
02 06 13 18 27 » 3
10 19 20 24 28 » 0
02 10 11 19 22 » 2
06 11 13 20 28 » 1
03 11 13 16 18 » 2
02 10 16 18 24 » 2
09 16 19 22 24 » 0
06 10 18 20 28 » 1
__________________________________________________________________