ICG { 33 } 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 { 33 } :

LINE #
for
identification
purposes		 Value
of
'X'		 Number of
Combinations
for 33 things
taken 'X' at a time
--- --- --- --- ---
Line 00 0 1
Line 01 1 33
Line 02 2 528
Line 03 3 5 456
Line 04 4 40 920
Line 05 5 237 336
Line 06 6 1 107 568
Line 07 7 4 272 048
Line 08 8 13 884 156
Line 09 9 38 567 100
Line 10 10 92 561 040
Line 11 11 193 536 720
Line 12 12 354 817 320
Line 13 13 537 166 440
Line 14 14 818 809 200
Line 15 15 1 037 158 320
Line 16 16 1 166 803 110
Line 17 17 1 166 803 110
Line 18 18 1 037 158 320
Line 19 19 818 809 200
Line 20 20 573 166 440
Line 21 21 354 817 320
Line 22 22 193 536 720
Line 23 23 92 561 040
Line 24 24 38 567 100
Line 25 25 13 884 156
Line 26 26 4 272 048
Line 27 27 1 107 568
Line 28 28 237 336
Line 29 29 40 920
Line 30 30 5 456
Line 31 31 528
Line 32 32 33
Line 33 33 1
GRAND TOTAL 8 589 934 592
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		 2 147 516 416
Group ONE 01 05 09 13 17 21
25 29 33		 2 147 516 416
Group TWO 02 06 10 14 18 22
26 30		 2 147 450 880
Group THREE 03 07 11 15 19 23
27 31		 2 147 450 880
GRAND TOTAL 8 589 934 592
GRAND TOTAL divided by 4 2 147 483 648
Discrepancy 32 768

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Note 1 : { 2^33 } = 8,589,934,592

Note 2 : { 2^15 } = 32,768

Note 3 : [ Discrepancy ] is given by :

minus

go to Combinatorics Table for { 32 }

go to Combinatorics Table for { 34 }

go back to Section 6 before branching here

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original dated 2004-12-18