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Calculating the number of possible outcomes

Hi everyone,

Now, when it comes to all things maths, I am **totally** hopeless. I have lots of trouble solving basic problems, so I knew I'd have to turn to the web for help with my current problem. Forgive the lay terms I use, it's the only way I can express things!

OK, imagine you have a small box with 9 smaller compartments (a 3x3 grid) and 9 pebbles that can be placed inside each of the compartments. I'm trying to figure out how many different combinations of pebbles are possible.

Attachment 19286

In the above image, you can see that the first row of the grid is filled in the first, second and third columns. Then, a few different combinations of rows and columns.

So, I'm trying to figure out how many possible combinations there are available (from 0 - 9 pebbles and everything in between), and what the best way to figure out those combinations is.

As I said, I'm not good with this stuff, but any tips or formulas that anyone can offer me would be greatly appreciated!