Question

a. Determine the number of sets of all possible random samples that can be drawn from the given population by using formula,nCn,where N is the population size and n is the sample size.write your solutions in the box below.

Answer 1

The number of possible samples which can be drawn without replacement is

$$_NC_n=C(N,n)=\dbinom{N}{n}=\dfrac{N!}{n!(N-n)!}$$