AA vs. AA

[rivered_again]

Just wondering if anyone has ever figured out the odds of this happening?

Playing 10 handed, my AA met someone else's AA. I thought that was pretty amazing. I did some rough calculations that showed that it happens 1 in 269,500. But that is probably only correct for heads up. (Player A gets pocket aces which is 1 in 220, and for Player B to get the last 2 aces is 1 in 1225. Multiply both together to get 269500)