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In how many ways can the letters of the word CAT be arranged to form three-letter words, if you are permitted to repeat a letter any number of times?

Shelby Trees
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    Listing all the possibilities in, say alphabetical order, and counting would be faster than posting the question here and waiting for an answer. – Jyrki Lahtonen Sep 13 '15 at 16:31

1 Answers1

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The first letter can be chosen in 3 ways. Same for the second and third one.

So it's $3^3=27$.

man_in_green_shirt
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