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 (20 letters, A through T). Each word in their language is 4 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(52781) About Me  (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  20%5E4.


2.  The number of all 4-letter words written using the alphabet of 19 symbols (from B to T) is  19%5E4.


3.  The difference  20%5E4 - 19%5E4  represents exactly the number of all words of the inhabitants of the island of Jumble.


    20%5E4 - 19%5E4 = 29679.

Solved.