Probability in a game of Bridge

I've researched this quite a bit. First off I'll post the problem then I'll show you some of what I think the work is to prove that I've attempted it.

**The question:**

In a bridge game each player has 13 cards so you and your partner have a total of 26 cards. What is the probability that you and your partner have exactly x Aces when x equals 0,1,2,3,4.

**MY WORK (so far):**

4/52 * 3/52 * 2/52 * 1/52 (this would be the equation IF you were only given 4 cards). Right??? Or is it something like (4!/52!). Totally confused.

We now have to add on the odds considering that you are getting 22 more cards which would be something like this...

48/52 * 47/52 * 46/52 * 45/52 * 44/52 * 43/52 * ......... * 28/52 * 27/52. Can you help me finalize this please? I've researched all over gooooogle and everywhere else I can think of.

I tried Probabilities Miscellaneous: Bridge Odds to get some insight but that didn't help me either.