ICG { 41 } Combinatorics Table

An Approach to the 'I-CHING'

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

Top Of Page

Combinatorics for the Number { 41 } :

LINE #
for
identification
purposes		 Value
of
'X'		 Number of
Combinations
for 41 things
taken 'X' at a time
--- --- --- --- ---
Line 00 0 1
Line 01 1 41
Line 02 2 820
Line 03 3 10 660
Line 04 4 101 270
Line 05 5 749 398
Line 06 6 4 496 388
Line 07 7 22 481 940
Line 08 8 95 548 245
Line 09 9 350 343 565
Line 10 10 1 121 099 408
Line 11 11 3 159 461 968
Line 12 12 7 898 654 920
Line 13 13 17 620 076 360
Line 14 14 35 240 152 720
Line 15 15 63 432 274 896
Line 16 16 103 077 446 706
Line 17 17 151 584 480 450
Line 18 18 202 112 640 600
Line 19 19 244 662 670 200
Line 20 20 269 128 937 220
Line 21 21 269 128 937 220
Line 22 22 244 662 670 200
Line 23 23 202 112 640 600
Line 24 24 151 584 480 450
Line 25 25 103 077 446 706
Line 26 26 63 432 274 896
Line 27 27 35 240 152 720
Line 28 28 17 620 076 360
Line 29 29 7 898 654 920
Line 30 30 3 159 461 968
Line 31 31 1 121 099 408
Line 32 32 350 343 565
Line 33 33 95 548 245
Line 34 34 22 481 940
Line 35 35 4 496 388
Line 36 36 749 398
Line 37 37 101 270
Line 38 38 10 660
Line 39 39 820
Line 40 40 41
Line 41 41 1
GRAND TOTAL 2 199 023 255 552
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		 549 756 338 176
Group ONE 01 05 09 13 17 21
25 29 33 37 41		 549 756 338 176
Group TWO 02 06 10 14 18 22
26 30 34 38		 549 755 289 600
Group THREE 03 07 11 15 19 23
27 31 35 39		 549 755 289 600
GRAND TOTAL 2 199 023 255 552
GRAND TOTAL divided by 4 549 755 813 888
Discrepancy 524 288

go to Top Of Page

Note 1 : { 2^41 } = 2,199,023,255,552

Note 2 : { 2^19 } = 524,288

Note 3 : [ Discrepancy ] is given by :

minus

go to Combinatorics Table for { 40 }

go to Combinatorics Table for { 42 }

go back to Section 6 before branching here

return to The ICG HomePage

original dated 2004-12-18