Question

A license plate is designed so that the first two characters are letters and the last four characters are digits​ (0 through​ 9). How many different license plates can be formed assuming that letters and numbers can be used more than​ once? The number of different license plates that can be formed is nothing.

Answer 1

Answer: 6760000

Step-by-step explanation:

Given : A license plate is designed so that the first two characters are letters and the last four characters are digits​ (0 through​ 9).

We know that ,

Number of choice for letters : 26  

Number of choices for numbers : 10

Now, the number of different license plates can be formed is repetition of letters is allowed :-

$26\times26\times10\times10\times10\times10\\\\=6760000$

∴The number of different license plates that can be formed is 6760000 .