Answer

This puzzle can be solved logically, or you can use an exhaustive search (see card_puzzle.m).

             ___       
            |   |      
            | K |      
            |___|      
 ___   ___   ___       
|   | |   | |   |      
| Q | | J | | Q |      
|___| |___| |___|      
       ___   ___   ___ 
      |   | |   | |   |
      | A | | K | | J |
      |___| |___| |___|
             ___       
            |   |      
            | A |      
            |___|