Hello,

Let X be a descret variable over a variable-space of size k ( $\displaystyle X \in \{ X_1 , X_2 , .. X_k \}$ ).

And let f(X) be a guassian distributionof X's .

I am randomly choosing an X using disribution f(X), and repeat this processes N times, until I get a vector of size N. (N > k, and can be N >> k if it will make the problem easyer..).

My question is:

Is there a way to estimate how many different such vectors I can get from this process?

Thank you