Question

Suppose that license plates in a certain municipality come in two forms: (1) three letters (A ... Z) followed by three digits (0 ... 9) or (2) two letters followed by four digits. How many different license plates are possible?

Answer 1

Answer:
`24336000`

Explanation:

The total number of digits = 10

The total number of letters in English alphabet = 26

Now, if three letters (A ... Z) followed by three digits (0 ... 9) , then the number of different codes can be made:_

`26*26*26*10*10*10=17576000`

If two letters followed by four digits, the number of different codes can be made:_

`26*26*10*10*10*10=6760000`

Now, the total number of different license plates are possible :

`17576000+6760000=24336000`

The total number of different license plates are possible
`=24336000`