ICG { 34 } 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 { 34 } :

LINE #
for
identification
purposes		 Value
of
'X'		 Number of
Combinations
for 34 things
taken 'X' at a time
--- --- --- --- ---
Line 00 0 1
Line 01 1 34
Line 02 2 561
Line 03 3 5 984
Line 04 4 46 376
Line 05 5 278 256
Line 06 6 1 344 904
Line 07 7 5 379 616
Line 08 8 18 156 204
Line 09 9 52 451 256
Line 10 10 131 128 140
Line 11 11 286 097 760
Line 12 12 548 354 040
Line 13 13 927 983 760
Line 14 14 1 391 975 640
Line 15 15 1 855 967 520
Line 16 16 2 203 961 430
Line 17 17 2 333 606 220
Line 18 18 2 203 961 430
Line 19 19 1 855 967 520
Line 20 20 1 391 975 640
Line 21 21 927 983 760
Line 22 22 548 354 040
Line 23 23 286 097 760
Line 24 24 131 128 140
Line 25 25 52 451 256
Line 26 26 18 156 204
Line 27 27 5 379 616
Line 28 28 1 344 904
Line 29 29 278 256
Line 30 30 46 376
Line 31 31 5 984
Line 32 32 561
Line 33 33 34
Line 34 34 1
GRAND TOTAL 17 179 869 184
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		 4 294 967 296
Group ONE 01 05 09 13 17 21
25 29 33		 4 295 032 832
Group TWO 02 06 10 14 18 22
26 30 34		 4 294 967 296
Group THREE 03 07 11 15 19 23
27 31		 4 294 901 760
GRAND TOTAL 17 179 869 184
GRAND TOTAL divided by 4 4 294 967 296
Discrepancy 65 536

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Note 1 : { 2^34 } = 17,179,869,184

Note 2 : { 2^16 } = 65,536

Note 3 : [ Discrepancy ] is given by :

minus

go to Combinatorics Table for { 33 }

go to Combinatorics Table for { 35 }

go back to Section 6 before branching here

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original dated 2004-12-18

original dated 2004-12-18