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.)

Guest Oct 14, 2018


This may not be correct but if there is 5 letters(abcde) then there is with each letter a possibilty of 5 different sets with a cobination of 3 letters. for example aaa,aab,aac,aad,aae,the switch the last letter to the middle for each letter aba,aca,ada,aea, etc. this leads to there being 5 for each letter using only a and since there is 5 letters you multily 5 by 5 for the different sets then by another 5 or 5^3. so 125 if u still need the answer. 

Baneofwizard  Oct 14, 2018

5+5^2+5^3=5+25+125=155 words

Melody  Oct 15, 2018

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