ICG { 47 } 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 { 47 } :

LINE #
for
identificaton
purposes		 Value
of
'X'		 Number of
Combinations
for 47 things
taken 'X' at a time
--- --- --- --- ---
Line 00 0 1
Line 01 1 47
Line 02 2 1 081
Line 03 3 16 215
Line 04 4 178 365
Line 05 5 1 533 939
Line 06 6 10 737 573
Line 07 7 62 891 499
Line 08 8 314 457 495
Line 09 9 1 362 649 145
Line 10 10 5 178 066 751
Line 11 11 17 417 133 617
Line 12 12 52 251 400 851
Line 13 13 140 676 848 445
Line 14 14 341 643 774 795
Line 15 15 751 616 304 549
Line 16 16 1 503 232 609 098
Line 17 17 2 741 188 875 414
Line 18 18 4 568 648 125 690
Line 19 19 6 973 199 770 790
Line 20 20 9 762 479 679 106
Line 21 21 12 551 759 587 422
Line 22 22 14 833 897 694 226
Line 23 23 16 123 801 841 550
Line 24 24 16 123 801 841 550
Line 25 25 14 833 897 694 226
Line 26 26 12 551 759 587 422
Line 27 27 9 762 479 679 106
Line 28 28 6 973 199 770 790
Line 29 29 4 568 648 125 690
Line 30 30 2 741 188 875 414
Line 31 31 1 503 232 609 098
Line 32 32 751 616 304 549
Line 33 33 341 643 774 795
Line 34 34 140 676 848 445
Line 35 35 52 251 400 851
Line 36 36 17 417 133 617
Line 37 37 5 178 066 751
Line 38 38 1 362 649 145
Line 39 39 314 457 495
Line 40 40 62 891 499
Line 41 41 10 737 573
Line 42 42 1 533 939
Line 43 43 178 365
Line 44 44 16 215
Line 45 45 1 081
Line 46 46 47
Line 47 47 1
GRAND TOTAL 140 737 488 355 328
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		 35 184 376 283 136
Group ONE 01 05 09 13 17 21
25 29 33 37 41 45		 35 184 367 894 528
Group TWO 02 06 10 14 18 22
26 30 34 38 42 46		 35 184 367 894 528
Group THREE 03 07 11 15 19 23
27 31 35 39 43 47		 35 184 376 283 136
GRAND TOTAL 140 737 488 355 328
GRAND TOTAL divided by 4 35 184 372 088 832
Discrepancy 4 194 304

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Note 1 : { 2^47 } = 140,737,488,355,328

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

Note 3 : [ Discrepancy ] is given by :

minus

go to Combinatorics Table for { 46 }

go to Combinatorics Table for { 48 }

go back to Section 6 before branching here

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original dated 2004-12-18