ICG { 38 } 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 { 38 } :

LINE #
for
identification
purposes		 Value
of
'X'		 Number of
Combinations
for 38 things
taken 'X' at a time
--- --- --- --- ---
Line 00 0 1
Line 01 1 38
Line 02 2 703
Line 03 3 8 436
Line 04 4 73 815
Line 05 5 501 942
Line 06 6 2 760 681
Line 07 7 12 620 256
Line 08 8 48 903 492
Line 09 9 163 011 640
Line 10 10 472 733 756
Line 11 11 1 203 322 288
Line 12 12 2 707 475 148
Line 13 13 5 414 950 296
Line 14 14 9 669 554 100
Line 15 15 15 471 286 560
Line 16 16 22 239 974 430
Line 17 17 28 781 143 380
Line 18 18 33 578 000 610
Line 19 19 35 345 263 800
Line 20 20 33 578 000 610
Line 21 21 28 781 143 380
Line 22 22 22 239 974 430
Line 23 23 15 471 286 560
Line 24 24 9 669 554 100
Line 25 25 5 414 950 296
Line 26 26 2 707 475 148
Line 27 27 1 203 322 288
Line 28 28 472 733 756
Line 29 29 163 011 640
Line 30 30 48 903 492
Line 31 31 12 620 256
Line 32 32 2 760 681
Line 33 33 501 942
Line 34 34 73 815
Line 35 35 8 436
Line 36 36 703
Line 37 37 38
Line 38 38 1
GRAND TOTAL 274 877 906 944
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		 68 719 476 736
Group ONE 01 05 09 13 17 21
25 29 33 37		 68 719 738 880
Group TWO 02 06 10 14 18 22
26 30 34 38		 68 719 476 736
Group THREE 03 07 11 15 19 23
27 31 35		 68 719 214 592
GRAND TOTAL 274 877 906 944
GRAND TOTAL divided by 4 68 719 476 736
Discrepancy 262 144

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Note 1 : { 2^38 } = 274,877,906,944

Note 2 : { 2^18 } = 262,144

Note 3 : [ Discrepancy ] is given by :

minus

go to Combinatorics Table for { 37 }

go to Combinatorics Table for { 39 }

go back to Section 6 before branching here

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original dated 2004-12-18