Re: Specific Hand Probability
C(52,2) stands for the number of ways 2 cards can be chosen from 52 cards (where order doesn't matter, i.e. 8 [img]/images/graemlins/spade.gif[/img]7 [img]/images/graemlins/diamond.gif[/img] is the same as 7 [img]/images/graemlins/diamond.gif[/img]8 [img]/images/graemlins/spade.gif[/img]
The general formula for C(n,r) is:
n!/(r!*(n-r)!)
So, C(52,2) = 52!/(2!*(52-2)! =
(52*51*50*...*1)/(2*1)*(50*49*48*...*1)
You can see that most of the terms in the numerator cancel with those in the denominator and you're left with:
(52*51)/2 = 26*51 = 1326
Make sense?
|