What are the odds of pocket aces beating pocket aces?

[sfetaz]

I am still a little confused however I will try to analyze the posts to make sense. I will clarify my questions though. 1 out of X number of hands will you be dealt pocket aces and an opponent will be dealt pocket aces is question one, what is X? Question 2 is 1 out of Y number of hands you will be dealt pocket aces and an opponent will be dealt pocket aces AND one of the two hands will lose because a 4 flush appears by the river, what is Y?

One other thing, why does the number of players at the table effect the answer? Wouldn't it logically be that you get pocket aces 1 out of every 221 hands because of 4/52 * 3/51, therefore the math would continue with 2/50 * 1/49 since you do not know anyone elses cards?