Suppose we have a collection of six numbers $\{1,2,7,8,14,20 \}$. What is the probability of drawing with replacement the unordered sample $\{2,7,7,8,14,14 \}$?
It seems that this probability would be $$\frac{1}{\binom{6+6-1}{6}}$$ which is $$\frac{1}{\binom{11}{6}}$$
Is that right?