How many options are there for license plates with any three letters (A-Z) followed by any 3 numbers (0-9)?

In this problem, we're asked to find how many different options there are for license plates that have any three letters a to z, followed by any three numbers 0 through 9. So looking at our license plate here, these first three spots are any letter a to z. So that means that each of these positions have 26 total possibilities. So this first one could be 26 different things, the second one could be 26 different things, and so could the third one. Now for these last three positions, we're looking at numbers 0 through 9. So that means that each of these have 10 possible things that they could be. So this first one could be any number 0 through 9, so could the second, and so could the third. Now using our fundamental counting principle to find all of the total possible outcomes of these possibilities, we can just multiply all of these numbers together. So 26 times 26 times 26 times 10 times 10 times 10. Now Now a more simple way to write this since we have a lot of recurring numbers here is that we're multiplying 26 by itself three times. So we're essentially cubing it and then we're multiplying 10 by itself 3 times as well and we're multiplying these two things together. So if I type this into my calculator, I'm going to get a rather high number of 17,576,000 total different possibilities for license plates of any three letters followed by by any three numbers. Thanks for watching, and I'll see you in the next one.