A code is made up of a letter (A–Z) and two digits (0–9). The digit can be repeated. How many possible codes exist?

There are 26 choices for the letter. Each of the two digit positions has 10 choices, from 0 through 9, and repetition is allowed. By the multiplication principle, the total is 26 × 10 × 10 = 2,600, so the correct choice is A, 2600.

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