ICG { 36 } 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 { 36 } :

LINE #
for
identification
purposes		 Value
of
'X'		 Number of
Combinations
for 36 things
taken 'X' at a time
--- --- --- --- ---
Line 00 0 1
Line 01 1 36
Line 02 2 630
Line 03 3 7 140
Line 04 4 58 905
Line 05 5 376 992
Line 06 6 1 947 792
Line 07 7 8 347 680
Line 08 8 30 260 340
Line 09 9 94 143 280
Line 10 10 254 186 856
Line 11 11 600 805 296
Line 12 12 1 251 677 700
Line 13 13 2 310 789 600
Line 14 14 3 796 297 200
Line 15 15 5 567 902 560
Line 16 16 7 307 872 110
Line 17 17 8 597 496 600
Line 18 18 9 075 135 300
Line 19 19 8 597 496 600
Line 20 20 7 307 872 110
Line 21 21 5 567 902 560
Line 22 22 3 796 297 200
Line 23 23 2 310 789 600
Line 24 24 1 251 677 700
Line 25 25 600 805 296
Line 26 26 254 186 856
Line 27 27 94 143 280
Line 28 28 30 260 340
Line 29 29 8 347 680
Line 30 30 1 947 792
Line 31 31 376 992
Line 32 32 58 905
Line 33 33 7 140
Line 34 34 630
Line 35 35 36
Line 36 36 1
GRAND TOTAL 68 719 476 736
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		 17 179 738 112
Group ONE 01 05 09 13 17 21
25 29 33		 17 179 869 184
Group TWO 02 06 10 14 18 22
26 30 34		 17 180 000 256
Group THREE 03 07 11 15 19 23
27 31 35		 17 179 869 184
GRAND TOTAL 68 719 476 736
GRAND TOTAL divided by 4 17 179 869 184
Discrepancy 131 072

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Note 1 : { 2^36 } = 68,719,476,736

Note 2 : { 2^17 } = 131,072

Note 3 : [ Discrepany ] is given by :

minus

go to Combinatorics Table for { 35 }

go to Combinatorics Table for { 37 }

go back to Section 6 before branching here

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original dated 2004-12-18