The International Air Transport Association (IATA) assigns three-letter codes to represent airport locations. For example, the code

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The International Air Transport Association (IATA) assigns three-letter codes to represent airport locations. For example, the code for Fort Lauderdale International Airport is FLL. How many different airport codes are possible?

Approach We are choosing three letters from 26 letters and arranging them in order. Notice that repetition of letters is allowed. Use the Multiplication Rule of Counting, recognizing we have 26 ways to choose the first letter, 26 ways to choose the second letter, and 26 ways to choose the third letter.

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