1. **Problem:** A license plate must have 2 letters (not I or O) followed by 3 digits. The last digit cannot be zero. How many different plates can be made? 2. **Step 1: Determine the number of possible letters.** - The English alphabet has 26 letters. - Letters I and O are excluded, so available letters = $26 - 2 = 24$. - Since 2 letters are needed, and repetition is allowed (not stated otherwise), number of ways to choose letters = $24 \times 24 = 24^2$. 3. **Step 2: Determine the number of possible digits.** - Each digit can be from 0 to 9, so 10 digits total. - The last digit cannot be zero, so last digit choices = 9 (digits 1 through 9). - The first two digits can be any digit 0-9, so each has 10 choices. - Number of ways to choose digits = $10 \times 10 \times 9 = 900$. 4. **Step 3: Calculate total number of license plates.** - Total plates = (number of letter combinations) $\times$ (number of digit combinations) - Total plates = $24^2 \times 900 = 576 \times 900 = 518400$. **Final answer:** There are $518400$ different license plates possible.