Someone did it for me 20 Years ago.
It was using 12 Numbers in this example 1 to 12 and there were 42 sets of 6 numbers
In that sample each of the 12 numbers ONLY appears 21 times, so this tells me it is a balanced result.
It covered the Majority of combinations and at least every combination of 4 was presented
I was to "believe" that in the example EG line 1-1,2,3,4,5,6 that this was only time 1,2,3,4 existed together.
But so does every other set of four combinations SO in LINE 1 Many Combinations Exist (1,2,3,5 / 1,2,3,6 / 2,3,4,5 / 2,3,4,6 ...etc)
and I call this a set of 4, but because we are extracting 6 numbers and within those 6 we can cover the set of 4 combinations.
Where the normal calculation of having 12 numbers and wanting every combination of 4 is 495 Combinations.
But here we are using a string of 6 numbers but ONLY looking at the sets of 4 in it.
I am not sure how they got this result?
But I have a problem where I now have to have 7 numbers...it may well take more than 42 sets
1-1,2,3,4,5,6,
2-1,2,3,7,8,9,
3-1,2,3,10,11,12,
4-1,2,4,7,8,10,
5-1,2,4,9,11,12,
6-1,2,5,7,8,11,
7-1,2,5,9,10,12,
8-1,2,6,7,8,12,
9-1,2,6,9,10,11,
10-1,3,4,7,9,10,
11-1,3,4,8,11,12,
12-1,3,5,7,9,11,
13-1,3,5,8,10,12,
14-1,3,6,7,9,12,
15-1,3,6,8,10,11,
16-1,4,5,7,10,11,
17-1,4,5,8,9,12,
18-1,4,6,7,10,12,
19-1,4,6,8,9,11,
20-1,5,6,7,11,12,
21-1,5,6,8,9,10,
22-2,3,4,8,9,10,
23-2,3,4,7,11,12,
24-2,3,5,8,9,11,
25-2,3,5,7,10,12,
26-2,3,6,8,9,12,
27-2,3,6,7,10,11,
28-2,4,5,8,10,11,
29-2,4,5,7,9,12,
30-2,4,6,8,10,12,
31-2,4,6,7,9,11,
32-2,5,6,8,11,12,
33-2,5,6,7,9,10,
34-3,4,5,9,10,11,
35-3,4,5,7,8,12,
36-3,4,6,9,10,12,
37-3,4,6,7,8,11,
38-3,5,6,9,11,12,
39-3,5,6,7,8,10,
40-4,5,6,10,11,12,
41-4,5,6,7,8,9,
42-7,8,9,10,11,12,
It was using 12 Numbers in this example 1 to 12 and there were 42 sets of 6 numbers
In that sample each of the 12 numbers ONLY appears 21 times, so this tells me it is a balanced result.
It covered the Majority of combinations and at least every combination of 4 was presented
I was to "believe" that in the example EG line 1-1,2,3,4,5,6 that this was only time 1,2,3,4 existed together.
But so does every other set of four combinations SO in LINE 1 Many Combinations Exist (1,2,3,5 / 1,2,3,6 / 2,3,4,5 / 2,3,4,6 ...etc)
and I call this a set of 4, but because we are extracting 6 numbers and within those 6 we can cover the set of 4 combinations.
Where the normal calculation of having 12 numbers and wanting every combination of 4 is 495 Combinations.
But here we are using a string of 6 numbers but ONLY looking at the sets of 4 in it.
I am not sure how they got this result?
But I have a problem where I now have to have 7 numbers...it may well take more than 42 sets
1-1,2,3,4,5,6,
2-1,2,3,7,8,9,
3-1,2,3,10,11,12,
4-1,2,4,7,8,10,
5-1,2,4,9,11,12,
6-1,2,5,7,8,11,
7-1,2,5,9,10,12,
8-1,2,6,7,8,12,
9-1,2,6,9,10,11,
10-1,3,4,7,9,10,
11-1,3,4,8,11,12,
12-1,3,5,7,9,11,
13-1,3,5,8,10,12,
14-1,3,6,7,9,12,
15-1,3,6,8,10,11,
16-1,4,5,7,10,11,
17-1,4,5,8,9,12,
18-1,4,6,7,10,12,
19-1,4,6,8,9,11,
20-1,5,6,7,11,12,
21-1,5,6,8,9,10,
22-2,3,4,8,9,10,
23-2,3,4,7,11,12,
24-2,3,5,8,9,11,
25-2,3,5,7,10,12,
26-2,3,6,8,9,12,
27-2,3,6,7,10,11,
28-2,4,5,8,10,11,
29-2,4,5,7,9,12,
30-2,4,6,8,10,12,
31-2,4,6,7,9,11,
32-2,5,6,8,11,12,
33-2,5,6,7,9,10,
34-3,4,5,9,10,11,
35-3,4,5,7,8,12,
36-3,4,6,9,10,12,
37-3,4,6,7,8,11,
38-3,5,6,9,11,12,
39-3,5,6,7,8,10,
40-4,5,6,10,11,12,
41-4,5,6,7,8,9,
42-7,8,9,10,11,12,