A code consists of two letters (they can be repeated) followed by one digit (0-9). how many possibilities are there

Question

directrix · Answer

There are 26 letters from which to choose provided the English alphabet is used.

There are 10 digits starting from 0 and counting to 9.

directrix · Answer

So, the code will have 3 slots in it, two letters and one number.

For the first slot, there are 26 choices. For the second slot, there are 26 choices because a letter can be repeated. There are 10 choices for the number digit.

directrix · Answer

So, for the entire code, there are 26*26*10 ways to form the code.

This comes from the Fundamental Principle of Counting.

@johnnybot    Calculate the product of 26 and 26 and 10 and you'll have the answer.