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The Petersonian alphabet consists of the 5 letters: O, R, Z, S, T. Any sequence of 1-8 letters is a valid word in this language (including words with repeated letters). How many different words does the Petersonian language contain?

 Mar 3, 2021
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5^8+5^7+5^6+5^5+5^4+5^3+5^2+5=$\boxed{488280}$

 Mar 3, 2021

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