iSAS SYSTEM 6/49

LINES and COLUMNS

We distribute the 49 numbers in a 7x7 square.

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

We have 7 lines (horizontal).

As presented in the chart, the distribution of the extracted numbers enlists L-C 7x7 on the abscissa in the following combinations (the first figure – no. of Lines, the second figure – no. of Columns) in the matrix.

L-C	L-C	L-C	L-C	L-C	L-C
1-6	2-3	3-2	4-2	5-2	6-1
	2-4	3-3	4-3	5-3	6-2
	2-5	3-4	4-4	5-4	6-3
	2-6	3-5	4-5	5-5	6-4
		3-6	4-6	5-6	6-5
					6-6

From the large number of possible combinations, look at the chart of 1000 draws and you will see the most suitable combination.

We would play L: min 4 – max 5; C: min 4 – max 5

Beside each L-C combination we have a column on top of which there is the number of occurrences of this combination.

REDUCTION VALUES OF LINES-COLUMNS

In the 6 lines and 6 columns table one finds the results of the Lines-Columns reduction for each pair of Line-Column values (from 1 to 6 lines, respectively from 1 to 6 columns).

The table below displays the number of combinations left out of the total of 13,983,816 combinations after the Lines-Columns reduction.

	1 column	2 columns	3 columns	4 columns	5 columns	6 columns
1 line	-	-	-	-	-	49
2 lines	-	-	735	17.640	35.280	9.114
3 lines	-	735	95.550	639.450	716.625	132.300
4 lines	-	17.460	639.450	2.753.800	2.425.500	382.200
5 lines	-	35.280	716.625	2.425.500	1.852.200	264.600
6 lines	49	9.114	132.300	282.200	264.600	35.280

The next table displays the probability of occurrence for each Line-Column combination.

	1 column	2 columns	3 columns	4 columns	5 columns	6 columns
1 line	-	-	-	-	-	0,00035
2 lines	-	-	0,0052	0,13	0,25	0,065
3 lines	-	0,00526	0,68	4,57	5,12	0,95
4 lines	-	0,13	4,57	19,69	17,35	2,73
5 lines	-	0,25	5,12	17,35	13,25	1,89
6 lines	0,00035	0,065	0,95	2,73	1,89	0,25

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

L-C	L-C	L-C	L-C	L-C	L-C
1-6	2-3	3-2	4-2	5-2	6-1
	2-4	3-3	4-3	5-3	6-2
	2-5	3-4	4-4	5-4	6-3
	2-6	3-5	4-5	5-5	6-4
		3-6	4-6	5-6	6-5
					6-6

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

L-C	L-C	L-C	L-C	L-C	L-C
1-6	2-3	3-2	4-2	5-2	6-1
	2-4	3-3	4-3	5-3	6-2
	2-5	3-4	4-4	5-4	6-3
	2-6	3-5	4-5	5-5	6-4
		3-6	4-6	5-6	6-5
					6-6

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

L-C	L-C	L-C	L-C	L-C	L-C
1-6	2-3	3-2	4-2	5-2	6-1
	2-4	3-3	4-3	5-3	6-2
	2-5	3-4	4-4	5-4	6-3
	2-6	3-5	4-5	5-5	6-4
		3-6	4-6	5-6	6-5
					6-6