Thread: HELP!!
View Single Post
  #4  
Old 11-04-2007, 01:42 PM
BruceZ BruceZ is offline
Senior Member
 
Join Date: Sep 2002
Posts: 4,078
Default Re: HELP!!

[ QUOTE ]
where did u get the 46 from?

[/ QUOTE ]

Since we are choosing 2, the numerator has 2 terms counting backwards from 47, so it is 47*46. This comes from the fact that C(47,2) = 47!/(47-2)!/2! = 47!/45!/2!, and since 47! = 47*46*45!, the 45! cancels out to give 47*46/2!.

Here are a couple more examples:

C(47,3) = 47*46*45/(3*2*1)

C(52,5) = 52*51*50*49*48/(5*4*3*2*1)
Reply With Quote