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Suppose each license plate in a certain state has two digits, followed by two letters, followed by two digits. The Q and U are not used. So, there are 24 letters and ten digits that are used. Assume that the letters and digits can be repeated. How many license plates can be generated using this formula?

Suppose each license plate in a certain state has two digits followed by two letters followed by two digits The Q and U are not used So there are 24 letters and class=


Answer :

Given:

There are 24 letters and ten digits that are used.

Required:

We have to find how many license plates can be generated using this formate.

Explanation:

Since there are 24 letters and ten digits and letters and digits can be repeated so for one position of the letter there are 24 choices and for one position of the digit, there are 10 choices.

As the license plate has two digits followed by two letters then the number of license plates that can be generated using this formate is

[tex]24\times24\times10\times10=57600[/tex]

Final answer:

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