9. It is known that the number of occurrences of a certain character in the text is from $10.5\%$ to $11\%$ of the length of the text (the length of the text is understood as the total number of characters in the text). Find the minimum possible length of the text.

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# Solution:

Let the length of the text be L. Let a character appear in the text $x$ times. The problem can be reformulated as: find the smallest natural number $\mathrm{L}$, for which there exists a natural number $x$ such that $\frac{10.5}{100}19$ when $x \geq 3$.

Answer: 19.

## Solution variant № 2