ICG { 28 } 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 { 28 } :

LINE #
for
identification
purposes		 Value
of
'X'		 Number of
Combinations
for 28 things
taken 'X' at a time
--- --- --- --- ---
Line 00 0 1
Line 01 1 28
Line 02 2 378
Line 03 3 3 276
Line 04 4 20 475
Line 05 5 98 280
Line 06 6 376 740
Line 07 7 1 184 040
Line 08 8 3 108 105
Line 09 9 6 906 900
Line 10 10 13 123 110
Line 11 11 21 474 180
Line 12 12 30 421 755
Line 13 13 37 442 160
Line 14 14 40 116 600
Line 15 15 37 442 160
Line 16 16 30 421 755
Line 17 17 21 474 180
Line 18 18 13 123 110
Line 19 19 6 906 900
Line 20 20 3 108 105
Line 21 21 1 184 040
Line 22 22 376 740
Line 23 23 98 280
Line 24 24 20 475
Line 25 25 3 276
Line 26 26 378
Line 27 27 28
Line 28 28 1
GRAND TOTAL 268 435 456
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		 67 100 672
Group ONE 01 05 09 13 17 21
25		 67 108 864
Group TWO 02 06 10 14 18 22
26		 67 117 056
Group THREE 03 07 11 15 19 23
27		 67 108 864
GRAND TOTAL 268 435 456
GRAND TOTAL divided by 4 67 108 864
Discrepancy 8 192

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Note 1 : { 2^28 } = 268,435,456

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

Note 3 : [ Discrepancy ] is given by :

minus

go to Combinatorics Table for { 29 }

go back to Section 6 before branching here

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original dated 2004-12-18