Question

A license plate consists of 2 letters followed by 1 digit. How many license plates are possible if the first letter can be any letter except I or O, the digit cannot be 0, and no letters or digits may repeat?

Answer 1

Answer:

5400

Explanation:

• As there are three spaces to be filled. First can have any alphabet, but not i and o. And there are 26 alphabets so, only one out of 24 can be filled in the first blank.
• In the second blank any alphabet can be used, but not the one same as the first one so we can choose from the remaining 25 alphabets.

• In the last blank any number can be chosen, but not 0 so we have 9 options to choose from.

Finally,the number of options available is 24*25*9 = 5400. So, 5400 license plates can be made using these combinations.