Probability approach in a discrete non linear system.

Hi MHF!

Suppose you are in a regular Texas Hold'em game where you have 2 'pocket' cards [2,2], and there are 4 'community' cards on the table [A,A,K,K] ( 4 different suits, so no flush possible ). I want to calculate the probabily of each non trivial hand an opponent might have. That is, the probability for each:

A A K K **2**

A A K K **3**

A A K K **4**

A A K K **5**

A A K K **6**

A A K K **7**

A A K K **8**

A A K K **9**

A A K K **T**

A A K K **J**

A A K K **Q**

A A K K **K**

A A **A** K K

A K K **K** **K**

A A **A A** K

Thanks in advance :D