Question 56
Find the number of integers $x$ such that the following three conditions all hold:
- $x$ is a multiple of $5$
- $121 \lt x \lt 1331$
- When $x$ is written as an integer in base $11$ with no leading $0$s (i.e. no $0$s at the very left), its rightmost digit is strictly greater than its leftmost digit.
- $x$ is a multiple of $5$
- $121 \lt x \lt 1331$
- When $x$ is written as an integer in base $11$ with no leading $0$s (i.e. no $0$s at the very left), its rightmost digit is strictly greater than its leftmost digit.