Assuming there are $96$ basic numbered cards, two of each rank from $1$ through $12$ in each of four colors (Blue, Green, Red and Yellow) in the deck.
What is the probability of being dealt a set of $4$ and a run of $4$, if I am to be dealt $10$ cards in total?
The problem for me is that I am over counting. I only know how to solve the problem assuming each card is unique, this is not the case as there is two of every card. A sample set would be a hand with at least four $5$'s and a sample run would be a hand with $3$, $4$, $5$, $6$.