Suppose that a set contains n objects m1 of which are

Question

(Generalized hypergeometric distribution)

Suppose that a set contains N objects, M1 of which are labelled 1M₂ of which are labelled 2 and the remainder of which are labelled 3. Suppose we select a sample of n n ≤ N objects from the set using sampling without replacement, as described in Example 2.3.7. Determine the probability that we obtain the counts ( f1,f2,f3) where fi is the number of objects labelled i in the sample.