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Sagot :
Using the combination formula, it is found that the number of different simple random samples of size 3 that can be selected from this population is:
b. 56.
The order in which the items are selected is not important, hence the combination formula is used to solve this question.
What is the combination formula?
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 3 items are chosen from a set of 8, hence:
[tex]C_{8,3} = \frac{8!}{3!5!} = 56[/tex]
Hence option b is correct.
More can be learned about the combination formula at https://brainly.com/question/25821700
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