SOLUTION: The inhabitants of the island of Jumble use the standard Kobish alphabet ({{{20}}} letters, A through T). Each word in their language is {{{4}}} letters or less, and for some reaso

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Question 1117825: The inhabitants of the island of Jumble use the standard Kobish alphabet ( letters, A through T). Each word in their language is letters or less, and for some reason, they insist that all words contain the letter A at least once. How many words are possible?
Answer by ikleyn(52784)   (Show Source): You can put this solution on YOUR website!
.
1.  The number of all 4-letter words written using the alphabet of 20 symbols (from A to T)  is  .


2.  The number of all 4-letter words written using the alphabet of 19 symbols (from B to T) is  .


3.  The difference   -   represents exactly the number of all words of the inhabitants of the island of Jumble.


     -  = 29679.

Solved.



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