Some conclusions

And since this leaves only the second house without a drink,the tea-drinking Dane must live there.The fourth house is now the only one missing a nationality and a cigar brand,so the Prince-smoking German from clue thirteen must live there.Through elimination, you can conclude that the Brit smokes Pall Mall and the Swede lives in the fifth house,while clue six and clue two tell you that these two have a bird and a dog, respectively.