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lo successfully route luggage from one airport to another, the destination airport is identified by three letters. For example, Los Angeles is LAX. How many airports could be served by this identification system? State any assumptions.
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Answer #1

17576 airports could be served bu this identification system

There are 26 letters (A,B,...,C). and any letter can be repeat.

first place of 3 letters can be filled by 26 way

second place also filled by 26 way

third place also by 26 way

so number of required way=26*26*26=17576

answer is 17576

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