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08-06-2018
Mathematics

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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?

Respuesta :

calculista calculista

21-06-2018

we know that

1. The number of all 4-letter words written using the alphabet of 20 symbols (from A to T) is
20^4=160,000

2. The number of all 4-letter words written using the alphabet of 19 symbols (from B to T) is
19^4=130,321

3. The difference represents exactly the number of all words of the inhabitants of the island of Jumble
difference=(160,000-130,321)= 29679.

the answer is
29679

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