Answer to Question #142511 in Combinatorics | Number Theory for Jakqueline Gomez

Question

In a certain country license plate numbers have 3 letters followed by 4 digits. How many different license plate numbers can be formed

Answer 1

$$Solution$$

There are $3$ spots where there are $26$ choices each $(=26^3)$ and $4$ spots where there are $10$ choices each (the digits through $9$ , $=10^4$ ). This gives:

There are $10^4\times26^3 = 175,760,000$ different plates possible.