Answer:
There are 5,586,853,480 different ways to select the jury.
Step-by-step explanation:
The order is not important.
For example, if we had sets of 2 elements
Tremaine and Tre'davious would be the same set as Tre'davious and Tremaine. So we use the combinations formula.
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 how many different ways can a jury of 12 people be randomly selected from a group of 40 people?
Here we have [tex]n = 40, x = 12[/tex].
So
[tex]C_{40,12} = \frac{40!}{12!(28)!} = 5,586,853,480[/tex]
There are 5,586,853,480 different ways to select the jury.
