ICG { 30 } Combinatorics Table

An Approach to the 'I-CHING'

by Frank C. Fung ( 1st published in September, 2004 )

Top Of Page

Combinatorics for the Number { 30 } :

LINE #
for
identification
purposes		 Value
of
'X'		 Number of
Combinations
for 30 things
taken 'X' at a time
--- --- --- --- ---
Line 00 0 1
Line 01 1 30
Line 02 2 435
Line 03 3 4 060
Line 04 4 27 405
Line 05 5 142 506
Line 06 6 593 775
Line 07 7 2 035 800
Line 08 8 5 852 925
Line 09 9 14 307 150
Line 10 10 30 045 015
Line 11 11 54 627 300
Line 12 12 86 493 225
Line 13 13 119 759 850
Line 14 14 145 422 675
Line 15 15 155 117 520
Line 16 16 145 422 675
Line 17 17 119 759 850
Line 18 18 86 493 225
Line 19 19 54 627 300
Line 20 20 30 045 015
Line 21 21 14 307 150
Line 22 22 5 852 925
Line 23 23 2 035 800
Line 24 24 593 775
Line 25 25 142 506
Line 26 26 27 405
Line 27 27 4 060
Line 28 28 435
Line 29 29 30
Line 30 30 1
GRAND TOTAL 1 073 741 824
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		 268 435 456
Group ONE 01 05 09 13 17 21
25 29		 268 419 072
Group TWO 02 06 10 14 18 22
26 30		 268 435 456
Group THREE 03 07 11 15 19 23
27		 268 451 840
GRAND TOTAL 1 073 741 824
GRAND TOTAL divided by 4 268 435 456
Discrepancy 16 384

go to Top Of Page

Note 1 : { 2^30 } = 1,073,741,824

Note 2 : { 2^14 } = 16,384

Note 3 : [ Discrepancy ] is given by :

minus

go to Combinatorics Table for { 29 }

go to Combinatorics Table for { 31 }

go back to Section 6 before branching here

return to The ICG HomePage

original dated 2004-12-18