Answer :
In this scenario, the order of selection does not matter. Thus, we would apply the method of combination. The combination formula for calculating the number of ways of selecting r items from n items is expressed as
nCr = n!/(n - r)!r!
From the information given,
n = 38
r = 5
Thus,
38C5 = 38!/(38 - 5)!/5!
= 38!/33!5!
= 501942
501942 different simple random samples of size 5 can be obtained from a population whose size is 38