Answer :
Answer:
Number of different simple random samples of size 5 that can be selected from a population of size 8 = 56 ways
Step-by-step explanation:
Step 1: Stating the combination formula
The number of selections of a number n, taking r at a time is given by the formula: [tex]\frac{n!}{(n - r!)r!}[/tex]
From the formula above, n is population size = 8
r is sample size = 5
Step 2: Substituting the values of n and r
Number of possible selections = 8!/(8 -5)*5! = 8!/3! * 5!
Number of possible selections = [tex]\frac{8*7*6*5*4*3*2*1}{3*2*1 * 5*4*3*2*1}[/tex]
Number of possible selections = 56
Therefore, number of different simple random samples of size 5 that can be selected from a population of size 8 = 56 ways