ICG { 43 } Combinatorics Table

An Approach to the 'I-CHING'

Combinatorics for the Number { 43 } :

LINE # for identification purposes	Value of 'X'	Number of Combinations for 43 things taken 'X' at a time
		---	---	---	---	---
Line 00	0					1
Line 01	1					43
Line 02	2					903
Line 03	3				12	341
Line 04	4				123	410
Line 05	5				962	598
Line 06	6			6	096	454
Line 07	7			32	224	114
Line 08	8			145	008	513
Line 09	9			563	921	995
Line 10	10		1	917	334	783
Line 11	11		5	752	004	349
Line 12	12		15	338	678	264
Line 13	13		36	576	848	168
Line 14	14		78	378	960	360
Line 15	15		151	532	656	696
Line 16	16		265	182	149	218
Line 17	17		421	171	648	758
Line 18	18		608	359	048	206
Line 19	19		800	472	431	850
Line 20	20		960	566	918	220
Line 21	21	1	052	049	481	860
Line 22	22	1	052	049	481	860
Line 23	23		960	566	918	220
Line 24	24		800	472	431	850
Line 25	25		608	359	048	206
Line 26	26		421	171	648	758
Line 27	27		265	182	149	218
Line 28	28		151	532	656	696
Line 29	29		78	378	960	360
Line 30	30		36	576	848	168
Line 31	31		15	338	678	264
Line 32	32		5	752	004	349
Line 33	33		1	917	334	783
Line 34	34			563	921	995
Line 35	35			145	008	513
Line 36	36			32	224	114
Line 37	37			6	096	454
Line 38	38				962	598
Line 39	39				123	410
Line 40	40				12	341
Line 41	41					903
Line 42	42					43
Line 43	43					1
GRAND TOTAL		8	796	093	022	208
SUMMARY : ( based on { modulo 4 } )
NAME OF GROUP	Line I.D.'s of Lines in the Group	TOTAL SUM of all Lines in the Group
Group ZERO	00 04 08 12 16 20 24 28 32 36 40	2	199	022	206	976
Group ONE	01 05 09 13 17 21 25 29 33 37 41	2	199	024	304	128
Group TWO	02 06 10 14 18 22 26 30 34 38 42	2	199	024	304	128
Group THREE	03 07 11 15 19 23 27 31 35 39 43	2	199	022	206	976
GRAND TOTAL		8	796	093	022	208
GRAND TOTAL divided by 4		2	199	023	255	552
Discrepancy				1	048	576

Note 1 : { 2^43 } = 8,796,093,022,208

Note 2 : { 2^20 } = 1,048,576

Note 3 : [ Discrepancy ] is given by :

the maximum of the [ TOTAL SUM's for Group ZERO / Group ONE / Group TWO / Group THREE ]

minus