252 different samples can be taken.
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The order in which the people are chosen is not important, which means that the combinations formula is used to solve this question.
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Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
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In this question, samples of 5 from a set of 10, so:
[tex]C_{10,5} = \frac{10!}{5!5!} = 252[/tex]
252 different samples can be taken.
A similar question is given at https://brainly.com/question/24278448
