# Task № 5.2

## Condition:

In a certain language $\mathrm{N}$, letters denote only 10 consonants and 8 vowels. Syllables in this language are of two types: either "consonant + vowel" or "consonant + vowel + consonant". A word in language $\mathrm{N}$ is any sequence of letters that can be broken down into syllables in an acceptable way. For example, the Russian word "кошка" (cat) could be a word in language $\mathrm{N}$, as it can be broken down into syllables as "кош-ка" (ko-sh-ka), whereas the word "гроза" (storm) could not exist in language $\mathrm{N}$ because it starts with two consonants that cannot be separated into syllables. How many eight-letter words are there in language $\mathrm{N}$?
Answer: 194560000

Exact match of the answer -1 point

Solution by analogy with task №5.1

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