Before we go on to the next section, let's just mess with out "choose" formula for awhile...

Let's crunch these out:

( 5  3 )  =  5! / ( 5 - 0 )! 0!  =  5! / 5! 0!  =  1  ...  Remember... 0! = 1
Does this make sense?  Think about it...

How many ways can you choose 0 things from 5 things?

One way -- you just sit there and do nothing!


( 0  0 )  =  0! / ( 0 - 0 )! 0!  =  0! / 0! 0!  =  1
How many ways can you choose
0 things from 0 things?

 

( 6  1 ) = 6! / ( 6 - 1 )! 1!  =  6! / 5! 1!  =  6 * 5! / 5! 1!  =  6
How many ways can you choose
1 thing from 6 things?