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On the island of Mumble, the Mumblian alphabet has only \(5\) letters, and every word in the Mumblian language has no more than \(3\) letters in it. How many words are possible? (A word can use a letter more than once, but \(0\) letters does not count as a word.)

 Dec 8, 2018
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One-letter words =5P1 = 5 words

Two-letter words =5P2 = 25 words

Three-letter words =5^3 = 125 words

Total =5 + 25 + 125 = 155 words in the language of Mumblians.

 Dec 8, 2018

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