Answer
There are $5,586,853,480$ different ways to form this jury.
Work Step by Step
The order in which the people are selected is not important. It is a combination of 12 people from a group of 40 people.
$_{40}C_{12}=\frac{40!}{(40-12)!~12!}=\frac{40\times39\times38\times37\times36\times35\times34\times33\times32\times31\times30\times29\times28!}{28!~12!}=5,586,853,480$