OT Test[ing again] - No need to reply

[ronnie gauthier]

6 out of 40 if they must be picked in order drawn(if number drawn is removed)
40*39*38*36*35*34
else if not removed
40*40*40*40*40*40

any 6 out of 40(removed)
40*39*38*36*35*34
-----------------
6*5*4*3*2*1

6 out of 40(removed) with 25 powerballs
40*39*38*36*35*34
----------------- *25
6*5*4*3*2*1

so what you have in one form or another
 n!
----       *Pb
n! (n-k)!
 

On Thu, 4 Sep 2003 19:54:41 -0400 - Kurt Wall <kwall at kurtwerks.com> wrote the
following
Re: Re: OT Test[ing again] - No need to reply

>Quoth Klaus-Peter Schrage:
>> Tom Wilson wrote:
>> >
>> >Here in America, many states have what they call a Lotto.  What happens
>> >is you go to a local convenience store and purchase a Lotto ticket for a
>> >US $1 a ticket.  They usually have 6 numbers on them from 1 to 40 or
>> >so.  Then once a week they draw numbers out of a contraption that has a
>> >bunch of numbered ping pong balls in it and you hope that the six you
>> >picked (or had randomly generated) on your ticket are the same six that
>> >pop up out of the ball machine.  Is so you win the jackpot of generally
>> >some tens to hundreds of millions of dollars.  
>> >
>> >Most people don't win.  Thus you have to pretty lucky if you do. 
>> >
>> The chances of winning aren't that bad: 1:3838380
>
>Mm, my statistics is a little rusty, but wouldn't the chances be rather
>worse? Order matters, so we want permutations, not combinations. So,
>
>40_P_6 = 40!/(40 - 6)! = 40!/34! = 2,763,633,000
>40_C_6 = 40!/(6! * (40 - 6)!) = 40!/(6! * 34!) = 3,838,380
>
>Kurt
>-- 
>Experience is the worst teacher.  It always gives the test first and
>the instruction afterward.
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