We know from Section 2.3 that there are possible SRSs of size n from a population of

Question:

We know from Section 2.3 that there are

possible SRS’s of size n from a population of size N. Suppose we stratify the population into H strata, where each stratum contains Nh = N/H units. A stratified sample is to be selected using proportional allocation, so that nh = n/H.
a. How many possible stratified samples are there?
b. Stirling’s formula approximates k!, when k is large, by