ICG { 29 } Combinatorics Table

An Approach to the 'I-CHING'

by Frank C. Fung ( 1st published in September, 2004 )

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Combinatorics for the Number { 29 } :

LINE #
for
identification
purposes		 Value
of
'X'		 Number of
Combinations
for 29 things
taken 'X' at a time
--- --- --- --- ---
Line 00 0 1
Line 01 1 29
Line 02 2 406
Line 03 3 3 654
Line 04 4 23 751
Line 05 5 118 755
Line 06 6 475 020
Line 07 7 1 560 780
Line 08 8 4 292 145
Line 09 9 10 015 005
Line 10 10 20 030 010
Line 11 11 34 597 290
Line 12 12 51 895 935
Line 13 13 67 863 915
Line 14 14 77 558 760
Line 15 15 77 558 760
Line 16 16 67 863 915
Line 17 17 51 895 935
Line 18 18 34 597 290
Line 19 19 20 030 010
Line 20 20 10 015 005
Line 21 21 4 292 145
Line 22 22 1 560 780
Line 23 23 475 020
Line 24 24 118 755
Line 25 25 23 751
Line 26 26 3 654
Line 27 27 406
Line 28 28 29
Line 29 29 1
GRAND TOTAL 536 870 912
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		 134 209 536
Group ONE 01 05 09 13 17 21
25 29		 134 209 536
Group TWO 02 06 10 14 18 22
26		 134 225 920
Group THREE 03 07 11 15 19 23
27		 134 225 920
GRAND TOTAL 536 870 912
GRAND TOTAL divided by 4 134 217 728
Discrepancy 8 192

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Note 1 : { 2^29 } = 536,870,912

Note 2 : { 2^13 } = 8,192

Note 3 : [ Discrepancy ] is given by :

minus

go to Combinatorics Table for { 28 }

go to Combinatorics Table for { 30 }

go back to Section 6 before branching here

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original dated 2004-12-18