You want to create an ID code for the students in your school based on three characters. The first and second characters must be a letter of the alphabet, and the third must be a digit between 1 and 9 inclusive. If repeat letters are allowed, how many such codes are there? (Use the multiplication principle.)

There are 26 choices for each of the first two characters, and repeat letters are allowed, so each letter position has all 26 choices. The final character has 9 choices, from 1 through 9. By the multiplication principle, 26 × 26 × 9 = 6,084 codes, so the correct choice is “6,084 different codes.”

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