05-16-2003, 04:21 PM
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Super Senior Member
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Join Date: May 2001
Posts: 11,172
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Quote:
Originally posted by Goswinus
Ion,
Sorry, but you're wrong and I can tell you why. 
That formula provides the total number of combinations of 6 numbers picked from a pool of 49 where the order of the numbers within each combination is significant.
In other words 01-02-03-04-05-06 and 06-05-04-03-02-01 are different permutations as opposed to being the same combinations.
For those interested: In Excel this function is called PERMUT.
However...
While populating this particular 49 number wheel, you have 49 positions to fill, and 49 numbers to select from.
That we somehow group this (re-arranged) sequence into combinations of 6 has got nothing to do with it.
This means you pick 49 numbers from a pool of 49 where each number can appear on each position.
So, the formula is PERMUT(49,49), which in fact is the same as FACT(49).
To be perfectly accurate, the formula needs a little correction to also apply to wheels that have common numbers on every line of the wheel.
For example:
01-02-03-04-05-06
01-02-03-04-05-07
In this 7 number both lines share 5 common numbers.
But, since the "world champion" doesn't have this, FACT(49) shows the correct number.
I guess we'll be expecting an update of FORMULA.EXE in the near future... 
But enough with that, let’s move on to the next comment.
I'm not religious about wheels, but your statements on them are a little unusual, to say the least.
On your website, you state: Data analyses show beyond doubt that the lotto wheels are beaten by random play.
You shouldn't make this assumption after testing just one population of a wheel. I can show you at least 1 population of the "world champion" which has hit the jackpot twice in the UK lotto history.
That beats (beyond doubt) your random wheel by far, don't you agree?  
Kind regards,
Goswinus
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Well of course it is a shame to call himself a mathematician and go straight to such generalisation statements....but if we always use only Ion's numbers ...we have to admit that Ion has a point here...And I would agree random might be better in this case...The problem is that I have never and I am not using anything from that salesman...So I'll stick to free wheels...real free wheels that are not used as a platform to try selling anything else...to some fat  ..... 
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