Question #341087

Given the population 1,3,4,6 and 8. Suppose samples of size 3 are drawn from this population.

How many different samples can be drawn from this population?


1
Expert's answer
2022-05-17T09:26:46-0400

We have population values 1,3,4,6,8,1,3,4,6,8, population size N=5N=5 and sample size n=2.n=2. Thus, the number of possible samples which can be drawn without replacement is

NCn=N!(Nn)!n!_NC_n=\frac {N!} {(N-n)!n!}

5C3=5!(52)!2!=1202!3!=12012=10_5C_3=\frac {5!} {(5-2)!2!}=\frac {120} {2!3!}=\frac {120} {12}=10


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