ICG { 46 } 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 { 46 } :

LINE #
for
identification
purposes		 Value
of
'X'		 Number of
Combinations
for 46 things
taken 'X' at a time
--- --- --- --- ---
Line 00 0 1
Line 01 1 46
Line 02 2 1 035
Line 03 3 15 180
Line 04 4 163 185
Line 05 5 1 370 754
Line 06 6 9 366 819
Line 07 7 53 524 680
Line 08 8 260 932 815
Line 09 9 1 101 716 330
Line 10 10 4 076 350 421
Line 11 11 13 340 783 196
Line 12 12 38 910 617 655
Line 13 13 101 766 230 790
Line 14 14 239 877 544 005
Line 15 15 511 738 760 544
Line 16 16 991 493 848 554
Line 17 17 1 749 695 026 860
Line 18 18 2 818 953 098 830
Line 19 19 4 154 246 671 960
Line 20 20 5 608 233 007 146
Line 21 21 6 943 526 580 276
Line 22 22 7 890 371 113 950
Line 23 23 8 233 430 727 600
Line 24 24 7 890 371 113 950
Line 25 25 6 943 526 580 276
Line 26 26 5 608 233 007 146
Line 27 27 4 154 246 671 960
Line 28 28 2 818 953 098 830
Line 29 29 1 749 695 026 860
Line 30 30 991 493 848 554
Line 31 31 511 738 760 544
Line 32 32 239 877 544 005
Line 33 33 101 766 230 790
Line 34 34 38 910 617 655
Line 35 35 13 340 783 196
Line 36 36 4 076 350 421
Line 37 37 1 101 716 330
Line 38 38 260 932 815
Line 39 39 53 524 680
Line 40 40 9 366 819
Line 41 41 1 370 754
Line 42 42 163 185
Line 43 43 15 180
Line 44 44 1 035
Line 45 45 46
Line 46 46 1
GRAND TOTAL 70 368 744 177 664
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 40 44		 17 592 186 044 416
Group ONE 01 05 09 13 17 21
25 29 33 37 41 45		 17 592 181 850 112
Group TWO 02 06 10 14 18 22
26 30 34 38 42 46		 17 592 186 044 416
Group THREE 03 07 11 15 19 23
27 31 35 39 43		 17 592 190 238 720
GRAND TOTAL 70 368 744 177 664
GRAND TOTAL divided by 4 17 592 186 044 416
Discrepancy 4 194 304

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Note 1 : { 2^46 } = 70,368,744,177,664

Note 2 : { 2^22 } = 4,194,304

Note 3 : [ Discrepancy ] is given by :

minus

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original dated 2004-12-18