Respuesta :
Number of different simple random samples of size 7 that can be selected from a population of size 10 = 480 ways
Stating the combination formula
The combination of an object is the method used in choosing the possible number of arrangements in an array of datasets.
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 = 10
r is sample size = 7
Substituting the values of n and r
Number of possible selections = 10!/(10 - 7)!*7! = 10!/3!*7!
= [tex]\frac{10\times9\times8\times 7! }{3 \times 2\times 1 \times 7!}[/tex]
= 720/6
= 480
Number of possible selections = 480
Therefore,
Number of different simple random samples of size 7 that can be selected from a population of size 10 = 480 ways
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