Answer:
3003 different samples are possible.
Step-by-step explanation:
The order that the landfills are chosen is not important. So we use the combinations formula to solve this question.
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]
In this problem, we have that:
10 landfills from a set of 15. So
[tex]C_{15,10} = \frac{15!}{5!10!} = 3003[/tex]
3003 different samples are possible.
