Ok, how will I start this so every one understands what I'm talking about?
We all know that there are 13,983,816 Combinations for a 649 Lotto.
this is when we look at it as one plane."Plane (geometry), theoretical surface which has infinite width and length, zero thickness, and zero curvature."
but, if we look at it from another view,we will find 44 planes,{or let me use the term field}an area.
there are 2 ways I can post this,either from the end towards the front or from the front to the end.
some of us know this fact and others might not.
our very 1st row of 6 numbers are
01,02,03,04,05,06 and our very last is 44,45,46,47,48,49
and in between we have our 13,983,816 Combinations.
now to talk about the fields or planes.
01,02,03,04,05,06 = 44 C
01,02,03,04,06,07 = 43 C
01,02,03,04,07,08 = 42 C
01,02,03,04,08,09 = 41 C
01,02,03,04,09,10 = 40 C
01,02,03,04,10,11 = 39 C
01,02,03,04,11,12 = 38 C
01,02,03,04,12,13 = 37 C
01,02,03,04,13,14 = 36 C
01,02,03,04,14,15 = 35 C
01,02,03,04,15,16 = 34 C
01,02,03,04,16,17 = 33 C
01,02,03,04,17,18 = 32 C
01,02,03,04,18,19 = 31 C
01,02,03,04,19,20 = 30 C
01,02,03,04,20,21 = 29 C
01,02,03,04,21,22 = 28 C
01,02,03,04,22,23 = 27 C
01,02,03,04,23,24 = 26 C
01,02,03,04,24,25 = 25 C
01,02,03,04,25,26 = 24 C
01,02,03,04,26,27 = 23 C
01,02,03,04,27,28 = 22 C
01,02,03,04,28,29 = 21 C
01,02,03,04,29,30 = 20 C
01,02,03,04,30,31 = 19 C
01,02,03,04,31,32 = 18 C
01,02,03,04,32,33 = 17 C
01,02,03,04,33,34 = 16 C
01,02,03,04,34,35 = 15 C
01,02,03,04,35,36 = 14 C
01,02,03,04,36,37 = 13 C
01,02,03,04,37,38 = 12 C
01,02,03,04,38,39 = 11 C
01,02,03,04,39,40 = 10 C
01,02,03,04,40,41 = 09 C
01,02,03,04,41,42 = 08 C
01,02,03,04,42,43 = 07 C
01,02,03,04,43,44 = 06 C
01,02,03,04,44,45 = 05 C
01,02,03,04,45,46 = 04 C
01,02,03,04,46,47 = 03 C
01,02,03,04,47,48 = 02 C
01,02,03,04,48,49 = 01 C
the addition sum is 990 Combinations.
at this point we had exhausted the 4 as a 4th spot and must start with a new line.just like your car's odometer.
01,02,03,05,06,07.here you must notice it is a 7 as a 6th spot and the 7 gives us 43 Combinations.
in other words,01,02,03,05,06,07 = 01,02,03,04,05,06 - 44 {990 - 44 = 946}
from this we can conclude.
01,02,03,04,05,06 = 990 {990 - 44 = }
01,02,03,05,06,07 = 946 {946 - 43 = }
01,02,03,06,07,08 = 903 keep on subtracting
01,02,03,07,08,09 = 861
01,02,03,08,09,10 = 820
01,02,03,09,10,11 = 780
01,02,03,10,11,12 = 741
01,02,03,11,12,13 = 703
01,02,03,12,13,14 = 666
01,02,03,13,14,15 = 630
01,02,03,14,15,16 = 595
01,02,03,15,16,17 = 561
01,02,03,16,17,18 = 528
01,02,03,17,18,19 = 496
01,02,03,18,19,20 = 465
01,02,03,19,20,21 = 435
01,02,03,20,21,22 = 406
01,02,03,21,22,23 = 378
01,02,03,22,23,24 = 351
01,02,03,23,24,25 = 325
01,02,03,24,25,26 = 300
01,02,03,25,26,27 = 276
01,02,03,26,27,28 = 253
01,02,03,27,28,29 = 231
01,02,03,28,29,30 = 210
01,02,03,29,30,31 = 190
01,02,03,30,31,32 = 171
01,02,03,31,32,33 = 153
01,02,03,32,33,34 = 136
01,02,03,33,34,35 = 120
01,02,03,34,35,36 = 105
01,02,03,35,36,37 = 091
01,02,03,36,37,38 = 078
01,02,03,37,38,39 = 066
01,02,03,38,39,40 = 055
01,02,03,39,40,41 = 045
01,02,03,40,41,42 = 036
01,02,03,41,42,43 = 028
01,02,03,42,43,44 = 021
01,02,03,43,44,45 = 015
01,02,03,44,45,46 = 010
01,02,03,45,46,47 = 006
01,02,03,46,47,48 = 003
01,02,03,47,48,49 = 001
now, let us add them = 15,180 C.
at this point we had exhausted the 3 as a 3rd spot and must start a new line
01,02,04,05,06,07.notice again it is a 7 as a 6th spot which means it is
15,180 - 990 = 14,190
01,02,03,04,05,06 to 01,02,03,47,48,49 = 15,180 C.
01,02,04,05,06,07 = 14,190 keep on subtracting.
01,02,05,06,07,08 = 13,244
01,02,06,07,08,09 = 12,341
01,02,07,08,09,10 = 11,480
01,02,08,09,10,11 = 10,660
01,02,09,10,11,12 = 09,880
01,02,10,11,12,13 = 09,139
01,02,11,12,13,14 = 08,436
01,02,12,13,14,15 = 07,770
01,02,13,14,15,16 = 07,140
01,02,14,15,16,17 = 06,545
01,02,15,16,17,18 = 05,984
01,02,16,17,18,19 = 05,456
01,02,17,18,19,20 = 04,960
01,02,18,19,20,21 = 04,495
01,02,19,20,21,22 = 04,060
01,02,20,21,22,23 = 03,654
01,02,21,22,23,24 = 03,276
01,02,22,23,24,25 = 02,925
01,02,23,24,25,26 = 02,600
01,02,24,25,26,27 = 02,300
01,02,25,26,27,28 = 02,024
01,02,26,27,28,29 = 01,771
01,02,27,28,29,30 = 01,540
01,02,28,29,30,31 = 01,330
01,02,29,30,31,32 = 01,140
01,02,30,31,32,33 = 00,969
01,02,31,32,33,34 = 00,816
01,02,32,33,34,35 = 00,680
01,02,33,34,35,36 = 00,560
01,02,34,35,36,37 = 00,455
01,02,35,36,37,38 = 00,364
01,02,36,37,38,39 = 00,286
01,02,37,38,39,40 = 00,220
01,02,38,39,40,41 = 00,165
01,02,39,40,41,42 = 00,120
01,02,40,41,42,43 = 00,084
01,02,41,42,43,44 = 00,056
01,02,42,43,44,45 = 00,035
01,02,43,44,45,46 = 00,020
01,02,44,45,46,47 = 00,010
01,02,45,46,47,48 = 00,004
01,02,46,47,48,49 = 00,001
the sum here is 179,265 C
at this point we had exhausted the 2 as a 2nd spot and must start a new line
01,02,03,04,05,06 to 01,02,46,47,48,49 = 179,265 C
01,03 = 179,265 - 15,180 = 164,085
01,02,03,04,05,06 = 179,265
01,03,04,05,06,07 = 164,085
01,04,05,06,07,08 = 149,985
01,05,06,07,08,09 = 136,651
01,06,07,08,09,10 = 124,310
01,07,08,09,10,11 = 112,830
01,08,09,10,11,12 = 102,170
01,09,10,11,12,13 = 092,290
01,10,11,12,13,14 = 083,151
01,11,12,13,14,15 = 074,725
01,12,13,14,15,16 = 066,955
01,13,14,15,16,17 = 059,805
01,14,15,16,17,18 = 053,260
01,15,16,17,18,19 = 046,276
01,16,17,18,19,20 = 040,820
01,17,18,19,20,21 = 035,960
01,18,19,20,21,22 = 031,465
01,19,20,21,22,23 = 027,405
01,20,21,22,23,24 = 023,751
01,21,22,23,24,25 = 020,475
01,22,23,24,25,26 = 017,550
01,23,24,25,26,27 = 014,950
01,24,25,26,27,28 = 012,650
01,25,26,27,28,29 = 010,626
01,26,27,28,29,30 = 008,855
01,27,28,29,30,31 = 007,315
01,28,29,30,31,32 = 005,985
01,29,30,31,32,33 = 004,845
01,30,31,32,33,34 = 003,876
01,31,32,33,34,35 = 003,060
01,32,33,34,35,36 = 002,380
01,33,34,35,36,37 = 001,820
01,34,35,36,37,38 = 001,365
01,35,36,37,38,39 = 001,001
01,36,37,38,39,40 = 000,715
01,37,38,39,40,41 = 000,495
01,38,39,40,41,42 = 000,330
01,39,40,41,42,43 = 000,210
01,40,41,42,43,44 = 000,126
01,41,42,43,44,45 = 000,070
01,42,43,44,45,46 = 000,035
01,43,44,45,46,47 = 000,015
01,44,45,46,47,48 = 000,005
01,45,46,47,48,49 = 000,001
the sum of the count up to here is 1,723,914
at this point we had exhausted the 1 as a 1st spot and must start a new line
02,03,04,05,06,07.once again,notice it is a 7 at the 6th spot.meaning you keep on subtracting.
01,02,03,04,05,06 to 01,45,46,47,48,49 = 1,723,914
1,723,914 - 179,265 = 1,544,649
01,02,03,04,05,06 = 1,723,914
02,03,04,05,06,07 = 1,544,649
03,04,05,06,07,08 = 1,380,564
04,05,06,07,08,09 = 1,230,579
05,06,07,08,09,10 = 1,093,928
06,07,08,09,10,11 = 0,969,618
07,08,09,10,11,12 = 0,856,788
08,09,10,11,12,13 = 0,754,618
09,10,11,12,13,14 = 0,662,328
10,11,12,13,14,15 = 0,579,177
11,12,13,14,15,16 = 0,504,452
12,13,14,15,16,17 = 0,437,497
13,14,15,16,17,18 = 0,377,692
14,15,16,17,18,19 = 0,324,432
15,16,17,18,19,20 = 0,278,156
16,17,18,19,20,21 = 0,237,336
17,18,19,20,21,22 = 0,201,376
18,19,20,21,22,23 = 0,169,911
19,20,21,22,23,24 = 0,142,506
20,21,22,23,24,25 = 0,118,755
21,22,23,24,25,26 = 0,098,280
22,23,24,25,26,27 = 0,080,730
23,24,25,26,27,28 = 0,065,780
24,25,26,27,28,29 = 0,053,130
25,26,27,28,29,30 = 0,042,504
26,27,28,29,30,31 = 0,033,649
27,28,29,30,31,32 = 0,026,334
28,29,30,31,32,33 = 0,020,349
29,30,31,32,33,34 = 0,015,504
30,31,32,33,34,35 = 0,011,628
31,32,33,34,35,36 = 0,008,568
32,33,34,35,36,37 = 0,006,188
33,34,35,36,37,38 = 0,004,368
34,35,36,37,38,39 = 0,003,003
35,36,37,38,39,40 = 0,002,002
36,37,38,39,40,41 = 0,001,287
37,38,39,40,41,42 = 0,000,792
38,39,40,41,42,43 = 0,000,462
39,40,41,42,43,44 = 0,000,252
40,41,42,43,44,45 = 0,000,126
41,42,43,44,45,46 = 0,000,056
42,43,44,45,46,47 = 0,000,021
43,44,45,46,47,48 = 0,000,006
44,45,46,47,48,49 = 0,000,001
here is where we reach the 13,983,816 Combinations for a 649 Lotto.
when we look at all 13,983,816 Combinations unbroken down,it does look and sound scary.
but when we break it down the way you see here, it becomes more doable.
the reason I'm doing this is to see if there are any people out there who can apply the elimination and reduction method to each plane on its own.
let say we want to play 1 as our 1st spot,we are not playing it out of 13,983,816 but rather out of 1,723,914.
if we remove all the previously drawn numbers along with all 6.5.4.3 consecutive numbers along with 2 consecutive skipping one in between.
example 01,02,04,05,07,08. along with any thing else we can reduce,then it wouldn't be out of 1,723,914 any more but rather a much smaller number.
DIG?