ICG { 42 } Combinatorics Table

An Approach to the 'I-CHING'

Combinatorics for the Number { 42 } :

LINE # for identification purposes	Value of 'X'	Number of Combinations for 42 things taken 'X' at a time
		---	---	---	---	---
Line 00	0					1
Line 01	1					42
Line 02	2					861
Line 03	3				11	480
Line 04	4				111	930
Line 05	5				850	668
Line 06	6			5	245	786
Line 07	7			26	978	328
Line 08	8			118	030	185
Line 09	9			445	891	810
Line 10	10		1	471	442	973
Line 11	11		4	280	561	376
Line 12	12		11	058	116	888
Line 13	13		25	518	731	280
Line 14	14		52	860	229	080
Line 15	15		98	672	427	616
Line 16	16		166	509	721	602
Line 17	17		254	661	927	156
Line 18	18		353	697	121	050
Line 19	19		446	775	310	800
Line 20	20		513	791	607	420
Line 21	21		538	257	874	440
Line 22	22		513	791	607	420
Line 23	23		446	775	310	800
Line 24	24		353	697	121	050
Line 25	25		254	661	927	156
Line 26	26		166	509	721	602
Line 27	27		98	672	427	616
Line 28	28		52	860	229	080
Line 29	29		25	518	731	280
Line 30	30		11	058	116	888
Line 31	31		4	280	561	376
Line 32	32		1	471	442	973
Line 33	33			445	891	810
Line 34	34			118	030	185
Line 35	35			26	978	328
Line 36	36			5	245	786
Line 37	37				850	668
Line 38	38				111	930
Line 39	39				11	480
Line 40	40					861
Line 41	41					42
Line 42	42					1
GRAND TOTAL		4	398	046	511	104
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	1	099	511	627	776
Group ONE	01 05 09 13 17 21 25 29 33 37 41	1	099	512	676	352
Group TWO	02 06 10 14 18 22 26 30 34 38 42	1	099	511	627	776
Group THREE	03 07 11 15 19 23 27 31 35 39	1	099	510	579	200
GRAND TOTAL		4	398	046	511	104
GRAND TOTAL divided by 4		1	099	511	627	776
Discrepancy				1	048	576

Note 1 : { 2^42 } = 4,398,046,511,104

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