how many ways are there to distribute six distinguishable ba

how many ways are there to distribute six distinguishable balls into nine distinguished bins?  

84 was not a correct answer! resubmitted this question

Solution

Case 1: With exclusion

First ball has 9 choices , second ball has (9-1) choices and so on , so the answer is 9.8.7.6.5.4=P(9,6)

Case 2: Without Exclusion

So there is no restriction how many balls can be put in one bin , that is more than one ball may go into the same bin.

So the answer is : 9^6