1985 AJHSME Problem 15
Problem
How many whole numbers between and contain the digit ?
Solution
There are numbers from 200 to 299 that have the number 2. In addition, there are 20 numbers that have a units digit of 2 and 20 numbers that have a tens digit of 2. However, we overcounted two numbers, 122 and 322.
Our final count is numbers that contain the digit