*In some cases, it may be possible to enumerate all possible outcomes, but in general such enumeration is physically impossible; for example, enumerating all possible 5 card poker hands dealt from a deck of 52 cards would take several months under the most
favourable conditions. * (Knight 2000)
While this quote is taken out of context, with the advent of modern computing this is a task which is definitely possible to do computationally!
Click through to see how you can do this in R, at least for 5-card stud. 5-card draw would have the same number of final combinations, though if you also track intermediary combinations, it would grow rather considerably.