Re: Some newbie math/lottery questions, please.
- From: Robert Perkis <robertp@xxxxxxxxx>
- Date: Thu, 26 Apr 2007 15:28:44 -0400
HC wrote:
Hey, all, while trying to find a formula for calculating the number of
possible unique combinations of x numbers in a set from y number of
possibilities I ran across quite a bit of stuff I have no clue about
and I would like to ask some questions to try to understand, please.
First, I found the formula C(N,x) = N!/((N-x)!*x!) which seems to
accurately calculate the number of unique sets of x numbers that can
be drawn from N possibilites where order is not important (1-2-5 is
the same as 5-2-1) and each number can only be used once in a sequence
x (1-2-5 is valid, 1-2-2 is not). So I believe I have found the
answer to the question that first landed me in the Lottery/Lotto
'groups.
Second, while reading for that information I have come up with some
information that has given me more questions than answers.
Item A: Someone, back in about 2001, had asked for help assigning a
unique number to each set of possible combinations in a lottery (or
any finite set) number set. The number was referred to as the CSN,
and the idea was that, for any particular game (54/6, 49/6, 37/5,
etc.) where there was a finite number of possible combinations and
numbers did not repeat in each set and there could be no duplicate
sets in the whole, there would be one number to refer to that set; the
CSN. A person named Ion Saliu (sp?) indicated that some formulae
presented were incorrect but I never found what was proposed to be
correct for calculating this number (CSN). First, what does CSN stand
for? Second, what would be the purpose of having a unique number to
identify each possible combination of numbers in this finite list of
possibilities? Third, what is the correct formula for calculating the
CSN for any given game where a set of x numbers is drawn from y
possibilites, where the numbers are not repeated in each set and order
is not important (1-2-5 same as 5-1-2 or 5-2-1)?
01. 01-02-03-04-05-06
02. 01-02-03-04-05-07
03. 01-02-03-04-05-08
continued to
13,983,816. 44-45-46-47-48-49
value of doing this - unknown.
Item B: I found some discussion of "wheels" that were, presumably,
used to help pick numbers for playing the lottery-type games One
poster mentioned looking for a wheel that was referred to, IIRC (it
was 2 this AM and I already posted this question but I was too wiped
out I guess because it seems never to have shown up) as a
"46,3,3,6,759". What is a "wheel" in this reference? Why did I read
some people referring to percentage coverage, particularly in the 95
percent range? Some referred, as I recall, to the idea of having 100%
of 3 number matches or somesuch. What does that mean?
I think I had another question this morning at that tiny hour but I
cannot remember it.
Thank you for your time and help.
--HC
"46,3.3.6,759" is (46,3,3,6)=759 is 100% 3if3of6in46 numbers 759
lines.
You have a 100% guarantee that if you have 3 of the winning numbers
among the 46 numbers you are wheeling you will have at least one line
among the 759 with three of the winning numbers appearing together on
it. Only the highest guaranteed prize is used to identify the wheel.
The wheel does not have to be closed at 100% the build can be halted
at any percentage of coverage usually at significant savings for a
small percentage of risk.
Robert Perkis
http://www.lotto-logix.com/wheellinks.html
.
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