More Probabilities

I have calculated probabilities · More Probabilities · The Bases of the Probabilities

How many possibilities are there overall to combine 6 upper case letters of the English alphabet?

26⁶ = 308 915 776

How many of these are 456, which with normal capitalisation becomes 616?

1*55*2=110		190*397*2=150860
3*66*2=396		210*417*2=175140
6*78*2=936		231*435*2=200970
10*91*2=1820		253*451*2=228206
15*105*2=3150		276*465*2=256680
21*120*2=5040		300*477*2=286200
28*136*2=7616		325*487*2=316550
36*153*2=11016		351*495*2=347490
45*171*2=15390		375*501*2=375750
55*190*2=20900		397*505*2=400970
66*210*2=27720		417*507*2=422838
78*231*2=36036		435*507*2=441090
91*253*2=46046		451*505*2=455510
105*276*2=57960		465*501*2=465930
120*300*2=72000		477*495*2=472230
136*325*2=88400
153*351*2=107406
171*375*2=128250		487*487=237169

110+396+936+1820+3150+5040+7616+11016+15390+20900+27720+36036+46046+57960+72000+88400+107406+128250+150860+175140+200970+228206+256680+286200+316550+347490+375750+400970+422838+441090+455510+465930+472230+237169=5863775

308 915 776 / 5 863 775 = 52.68206505195

In other words, scoring 616 as per six upper case adding up to 456 and adding 160 (5*32) for normal capitalisation, is theoretically nearly three times more common than scoring 666 in nine upper case.

And therefore less significant.

Hans Georg Lundahl
Paris XI
St. Nemorius and Companions
7.IX.2019

Trecis, in Gallia, sancti Nemorii Diaconi, et Sociorum Martyrum, quos Attila, Rex Hunnorum, interfecit.