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?

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.

AFOKE88 AFOKE88 · Answer 2 · 2022-03-15T14:52:37+01:00

The number of license plates that are possible from the given combination is; 5400

How to find possible combinations?

There are 26 alphabets in English language.

We are told that there are three spaces to be filled;

The first blank space can have any alphabet, but not i and o. Thus, out of the 26 alphabets, only 24 possible letters can be filled in the first blank space.

For the second blank space, any alphabet can be used, but not the same one used for the first and as such we can choose only from 25 alphabets.

In the third blank space, any number can be chosen, but not 0. Thus, we can choose from 1 to 9 which is 9 possible numbers.

Thus;

number of license plates that are possible = 24 × 25 × 9 = 5400

Read more about Probability Combinations at; https://brainly.com/question/24756209