I would like to generate fixed size sequences contained a fixed number of repeated symbols.
For example how to generate sequences of size N containing exactly p symbols of one type q symbols of another, etc... where p, q, etc. < N.

In my case I want to generate sequences of size 13 containing 3 symbols denoted x, 2 symbols denoted y and 2 symbols denoted z.  Blank spaces are marked with '-'

So it would look like 
xxxyyzz------
x-xx--y-y-zz-
...
etc.

There C(13, 3)*C(10,2)*C(8,2) ways of generating such sequences but I have no idea how to generate them.

Technically how do you describe this problem?  Combinations with repetitions?
Where can I find a description of algorithms to solve this? Does Knuth book describe this algorithms?  Most of the solutions I find deal with generating permutations or combinations but none deal with repeated elements.


Thanks.