Using the Fundamental Counting Theorem, it is found that there are 416,520 ways to fill out a lottery ticket.
<h3>What is the Fundamental Counting Theorem?</h3>It is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem:
- First, one uppercase or lowercase letter is chosen, there are 26 of each, hence
.
- Then, two different two-digit numbers are chosen, and there are 90 of them, hence
, as the third digit has to be different of the second.
Then:
There are 416,520 ways to fill out a lottery ticket.
To learn more about the Fundamental Counting Theorem, you can take a look at brainly.com/question/24314866