Re: GLUG: Lotto

[hvisage <hvisage@xxxxxxxxxxxxxx>]

On Mon, Apr 03, 2000 at 08:55:58PM +0200, Carl Templin wrote:
> > > > On the same thread, why not just brute force the lotto? There are only a
> > > > finite number of possible combinations, so generate a list of every
> ................................................
> 
> 
> > Wrong: 49!/43! which IS less than 49^6
> > 10068347520 < 13841287201
> > The Logic: First pass there are 49 balls to choose from.
> > Second pass there are now only 48 balls 
> > etc.
> > Thus: 49*48*47..*1=49!
> > But we'll stop after 6 tries: thus eliminate every thing after the 49-6'th try
> > Thus: 49!/43!=49*48*47*46*45*44
> 
> 
> RONG!      This is a permutation.  You want combinations 6 out of 49

Apologies: it should be "49 combination 6" (Moderne Statistiek vir die
Praktyk)

/49\ = 49!        =  49!
\6/    ---           ---
       6!(49-6)!     6!43!

Which is an even smaller number (720th less)
thus it approaches R35million

This looks MUCH more doable, after the jackpot reached R40million or more...

> > But it's still a biggish value :(
> > 
> > > or
> > > 49^5 * R2.50 =  +- R706 million - still a lot.
> > > 
> > > Regards
> > > Dwayne Bailey
> > > 
> > > --
> > > The Linux Warehouse - your source of Linux software
> > > http://www.linuxwarehouse.co.za/
> > > info@xxxxxxxxxxxxxxxxxxxx
> > > tel/fax: +27-21-685 3754
> 
> 
> cheers,  CT.

-- 
------------------------
Hendrik Visage
hvisage@xxxxxxxxxxxxxx