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Lottery Combinations

Date: 8/20/96 at 12:17:20
Subject: Lottery Combinations

What formula can be used to compute all lottery number combinations 
on a 6 out of 49 system?

Date: 8/22/96 at 16:0:58
From: Doctor Robert
Subject: Re: Lottery Combinations

If you are to choose a set of 6 numbers from a set of 49 numbers, the 
number of possible ways that you can do this is called the combination 
of 49 taken 6 at a time.  Many calculators can give you the answer.  
The answer is

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

where the "!" stands for "factorial".  (5! = 5x4x3x2x1 = 120.)
The answer to your question is that there are about 13.98 million 
possible ways to choose 6 numbers from 49.  That's a lot of 

-Doctor Robert,  The Math Forum
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Associated Topics:
High School Permutations and Combinations

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