ICG { 35 } 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 { 35 } :

LINE #
for
identification
purposes		 Value
of
'X'		 Number of
Combinations
for 35 things
taken 'X' at a time
--- --- --- --- ---
Line 00 0 1
Line 01 1 35
Line 02 2 595
Line 03 3 6 545
Line 04 4 52 360
Line 05 5 324 632
Line 06 6 1 623 160
Line 07 7 6 724 520
Line 08 8 23 535 820
Line 09 9 70 607 460
Line 10 10 183 579 396
Line 11 11 417 225 900
Line 12 12 834 451 800
Line 13 13 1 476 337 800
Line 14 14 2 319 959 400
Line 15 15 3 247 943 160
Line 16 16 4 059 928 950
Line 17 17 4 537 567 650
Line 18 18 4 537 567 650
Line 19 19 4 059 928 950
Line 20 20 3 247 943 160
Line 21 21 2 319 959 400
Line 22 22 1 476 337 800
Line 23 23 834 451 800
Line 24 24 417 225 900
Line 25 25 183 579 396
Line 26 26 70 607 460
Line 27 27 23 535 820
Line 28 28 6 724 520
Line 29 29 1 623 160
Line 30 30 324 632
Line 31 31 52 360
Line 32 32 6 545
Line 33 33 595
Line 34 34 35
Line 35 35 1
GRAND TOTAL 34 359 738 368
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		 8 589 869 056
Group ONE 01 05 09 13 17 21
25 29 33		 8 590 000 128
Group TWO 02 06 10 14 18 22
26 30 34		 8 590 000 128
Group THREE 03 07 11 15 19 23
27 31 35		 8 589 869 056
GRAND TOTAL 34 359 738 368
GRAND TOTAL divided by 4 8 589 934 592
Discrepancy 65 536

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Note 1 : { 2^35 } = 34,359,738,368

Note 2 : { 2^16 } = 65,536

Note 3 : [ Discrepancy ] is given by :

minus

go to Combinatorics Table for { 34 }

go to Combinatorics Table for { 36 }

go back to Section 6 before branching here

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original dated 2004-12-18