Question 64
Given a real number $x$ between $0$ and $1$, consider its decimal representation $0. c_{1} c_{2} c_{3} \ldots$ Let $B(x)$ be the set of the different subsequences of six consecutive digits that appear in the sequence $c_{1} c_{2} c_{3} \ldots$
For example, $B(1 / 22)=\{045454,454545,545454\}$.
Determine the minimum number of elements of $B(x)$ as $x$ varies among the irrational numbers between $0$ and $1$ (that is, those whose decimal expansion is neither finite nor periodic from some point on).
For example, $B(1 / 22)=\{045454,454545,545454\}$.
Determine the minimum number of elements of $B(x)$ as $x$ varies among the irrational numbers between $0$ and $1$ (that is, those whose decimal expansion is neither finite nor periodic from some point on).