Question

In how many different ways can a jury of 12 people be randomly selected from a group of 40 people?

Answer 1

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:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In how many different ways can a jury of 12 people be randomly selected from a group of 40 people?

Here we have $n = 40, x = 12$.

So

$C_{40,12} = \frac{40!}{12!(28)!} = 5,586,853,480$

There are 5,586,853,480 different ways to select the jury.