Combination Generator without Repetitions - Full Lotto Systems

Create combinations without repetitions for Lotto

By defining a number allocation system independently of any lotto game, we have built a generator that calculates the selected combination (without repetitions) on the fly after entering the combination number.
This option is independent of official Lotto games and provides complete flexibility in generating number arrangements.

Example:

We want to create a system for
dl
Lotto, where the number range is 1-49, and 6 numbers are drawn. We choose 6 numbers to mark on the ticket.
Now, we select 7 numbers from the range 1-49 to create a full system on the tickets, for example.
As a result of this operation, we get 7 combinations without repetitions of the selected numbers.
If we want to generate a system for more combinations, e.g., for 1001 bets, it is not convenient to scroll through all combinations to get to combination number 999. In the generator, you can simply enter the combination number you want to display.

Example 2:

We want to create a system for
ml
, where the number range is 1-80, and 20 numbers are drawn. We choose, for example, 9 numbers to mark on the ticket (preferably the number for the ongoing promotion).
Now, we select numbers from the range 1-80, at least 10, then the system will generate combinations for 10 tickets. To see the 10 arrangements, we enter the combination number directly.

The generator calculates combinations in fractions of a second, but it has a limitation in calculations, which is 14 decimal places. Therefore, we had to trim its functionality.

System limitations:

  • number of marked numbers on a ticket range: 2-10 numbers
  • number of selected numbers from the range: 3-100 numbers
  • number of selectable numbers: 3-100 numbers
  • number of combinations without repetitions depends on the arrangement; the maximum range is: the pool of all numbers is 100, and it's possible to choose 100, and on the ticket, we mark 10. The total possible combinations are 17,310,309,456,440 without repetitions.
There are also number allocation systems in the systemLa Jola, which eliminate repetitions of numbers that have been repeated at least once in a full system. The IDA Institute in California is working on this. Writing an algorithm that calculates such systems is not a problem, but for larger arrangements, a very powerful matrix of calculation servers is needed due to the very high computational complexity when comparing dependencies.

However, Dear Player, know that to win, just one correct ticket is enough. Only and only one!

Sources:

Number of marked numbers on the ticket, choose from 2 to 10 numbers:

1
2
3
4
5
6
7
8
9
10

Number of combinations: 0

Select chosen numbers for the system from 3 to 100 numbers:

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100