Constitutional Whig. [volume] (Richmond, Va.) 1824-1832, 1827-01-02


candid and impartial examination of the facts and dat
within my reach and the result of that examinatio
has been thorough conviction. that, putting out
view The pernicions principle upon which the system
OF Lotteries is necessarily founded the management
them has disclosed the stupenJous ysten of i'm
position and fraud that was prac,iced upon ere
duious community. a system too of fraud and corrun
ton, Leaiixed!
The schemes of the Lotteries already drawn in ti,
State as well as those of several others already anutn
cc differ materially from each other. in the formation
Oh the tickets the allotment of the prizes the mode
OF drawing; but they all may be characterized as so
many modes Of cheating, another OF which has
been adopted by managers upon no other principle of
preference than that which disclosed by the following
in4uiry-"whic is the bet calculated TO induce the
people to become the purchasers of tickets and to
enable us to cheat them afterwards:n If this ncnry
we're made OF the, should answer without hesitation
1.-The scheme III which the tickets formed by
''t!ic ternary COMBINATION aud FORMULATION OF
ga given number Of iigures!" Indeed, believe
That II IS the most ingenious plan that was ever
devised, tor etlrcng particular purpose; il APP
Iears, ON slight examination, 10 be extremely fair
aud simple in its ncples but like ing eniouy fou-
cd machine it contains within a Complexi;v Of ina.
ch:nery which will enable the ,nechanist to produce
astonishing variety of pecied rcsnlts.-I shall
attempt partial analysis Of this plan, sufficiently
prehcnsve, however, TO enable any one, who will give
little attention the subject Judge Of its general
char acter and principles.
The first peculiar feature of this SYSTEM is the for
nation Of the tickets We assume series of
numbers. say las in most of the schemes nf com
bnation lottercs) from to So, inclusive. Out of this
series OF numbers all the tickets be form i. How
many ticket, can be made? This depends. first, upen
the numbers TO be combined IN the same ticket;-and
secondly, upon the Formulation non pcrmntaton of
these numbes.-Suppose determine place the
whole series OF SO numbers upon each tickets we could
then, by combination only form but one ticket and i'm
order 10 produce greater number, must change
tue or1e; in which the numbers 10 be placed upon
the tickets, that although nil the tickets would have
the sn"e numbers upon ttcr would have the mum.
bers in the same oTdtr:Ilow many tickets would be
ft,,,SE IT.
the given numbers, lin from TO SCI connu
alJ together thus twice one, two; three times two
SIX fur times six, are twenty four; and &c.
the last oduc, would DC the number ui tickets hich
would be formed, by placing the SO numbers upon
every ticket but changing their order. This number
II is obvious, would be immense and Of course, seine
other mode Of combination must be adopted.
Suppose, that we determine form combinations of
three numbers, placing three numbers upon each tic
ket, but that two tickets shall have the same three
numbers upon them; how many may be TINS formed
with the 35 number? The is thus obtained;
multiply &c. 80, and 81 continue lily together, and III
vide the product by6 The result will be 7,Ilo. /
might ado the general rule ascertain the number
combinations which be made of elUen number of
things, comboing ,ices number at a time but II
would probably be superuous, The rule is known 10
all who are conversan with subjects of this nature.
We then. that of So numbers. taking three at a
time, we can form 7,l40 tickets i,co of which will
have the same three numbers upon them. But suppose
NC change the order of these numbers, that two
tickets shall have the three numbers in the same
order; how many more tickets may be formed of the
same 36 numbers? Obviously times as many; this
any one may prove in moment by making trial with
three numbers; thus 3, 3 Q 3, !,
} 2, 3 ]. The rule, however for ascertainiDp
the number of changes has been already mentioned
the application of which here, would be thus 1xox3=6
So that, if ask how many tickets NAV be form
ed by the ternary combination ana Formulation of So
numbers, the answer is-36x35x34-4s,84 $780, and
this is the number stated in the schemes the combna
ton lottery. So far then this scheme pc: ccy fair
and'correct. There is no imposition here or attempt a.
imposition
The next ka,:c feature of this system is the
Iaode OF drd'oine The 30 numbers of which the tick
els formed are put the wheel and portions of
them, Eve, drawn cut Now it is certain, that there
must be some tickets which have mon them some one
of the numbers drawn; that there must be some
ticket that has upon it the three numbers first drawn
and of any other three of the numbers drawn) and
in the order in which they drawn; that there must
be others which have uFon them nny t,co of the
beis drawn; indeed there much certainty that some
tickets III the scl,eme correspond with the numbers
tIawi IN every variety OF combination there would
have been. II the whole humber OF HcLets had been
deposited in the wheel according the old mehcd
of drawing lotteries. As to The formation Of the tick
cts and the mode Of drawing therefore, his system APP
pears be free from all just exception; and pre-
sumo that any man. ,s'o should extend his examination
farther, would think himself justified in bearing his
testimony the fairness and correctness of the DYnci
pies upon whc!i the system is founded. And should
J be very glad 10 know with certainty, whether any Of
those gentlemen, wio in different parts o? the union,
have heen called upon by the managers 10 bear public
testimony To the chara;cr and principles of this sys
TEN, extended their examination any further than
to those parts Of 1t which have already noticed Indeed
II is impossible, that they should have gore frrtler for
had they dome so, they could po have failed instantly
to discover that whatever the fact as 10 tie condnct of
the managers might he, it in tlrrr powe, 10 i'm
pose upon the public. IL is not long since t,at
the schemes, think, headed by an aprrobsiory
certificate, signed b. ]. Marshall, r. Stanard F. V.
Daniel and several others Of the respectable ard
best informed gentlemen of ibis city, certificate
which confidently beey ed, they never would have
given, Ind they know much of the stem tic
managers themselves, even much as do; Tor
confess there appears TO to be many mysteries Of
great importance considered of deception)
connected with this system, which have yet en-
plored, and probably (if able do SOY never shall ex
pOre but which the managers perfectly understand and
Can turn 10 their advantage. IL possible, how.
ever, that lie managers consider perfectly fair and
honorable To use their superior nowlcdge of the sys