How many different combonations can you get from 3 letters and 3 numbers...like on a license plate?

I always wondered because in California they had to start making them with 4 letters and 3 numbers.


Can you show me how you did the math?


Thank-you very much!!!!How many different combonations can you get from 3 letters and 3 numbers...like on a license plate?
3 letters = 26 x 26 x 26 = 17576


3 numbers = 10 x 10 x 10 = 1000





17576 x 1000 = 17,576,000 different combos on a standard license plate





With 4 letters you have a total of 439,400,000 combosHow many different combonations can you get from 3 letters and 3 numbers...like on a license plate?
Using the multiplication rule, for now taking that the letters will fill up the first 3 spaces and that the numbers will fill in the last, there are 26x26x26x10x10x10 permutations, or 17576000 ways. This is only at first glance---


I am not very familiar with license plates, so are there are any rules regarding where numbers can be put and where letters can be put?


Assuming letters and numbers can be put anywhere on the license plate, we would have to multiply 17576000 by the permutations of the positions of the individual numbers and letters. 17576000 x 6! = 12654720000 different license plates.





12654720000 different license plates...That's a lot, considering there aren't even that many people in the world! I suspect there are rules about where letters and numbers can go...
If the letters and numbers are in a specific order, then you have 26 possibilities for each letter position and 10 possibilities for each number position.


Total is 26^3 * 10^3 = 17576 * 1000 = 17576000.


Over 17.5 million.





(If letters and numbers can be in any spot, there's a lot more.)
Hi Mark K.


I'll say about 17,000,000 %26amp; a few xtra it's a matter of multiplying %26amp; I just used the online claculator to figure this out. Then there's the license with wv %26amp; vw=drunk drivers. Have a good night. :0)


Additional Deatils: I didn't save the calculations but after reading what every1 else put I think I don't remember how to multiplay even using calculator....
From the same letters and numbers i.e.,


123 ABC you would get 27 combinations.