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MATH / A base-10 three-digit number n is selected at random. What is the probability that the base-9 representation and the base-11 representation of n are both three-digit numerals?

Problem

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problem

A base-10 three-digit number nn is selected at random. What is the probability that the base-9 representation and the base-11 representation of nn are both three-digit numerals?
Plain-text mathematical notation (without MathML)
A base-10 three-digit number n is selected at random. What is the probability that the base-9 representation and the base-11 representation of n are both three-digit numerals?
Original LaTeX notation
A base-10 three-digit number $n$ is selected at random. What is the probability that the base-9 representation and the base-11 representation of $n$ are both three-digit numerals?

level

Level 5

type

Number Theory

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