Suppose a population contains n1 objects of one kind, n2 objects of a second kind, . . . , and nt objects of a tth kind, where n1 +n2 +· · ·+nt = N. A sample of size n is drawn at random and without replacement. Deduce an expression for the probability of drawing k1 objects of the first kind, k2 objects of the second kind. . . and kt objects of the tth kind by generalizing Theorem 3.2.2.