Case 1: The ones that begin with 2. They are the three digit integers 000 through 999 with a 2 in front. So there are 1000 of those. Case 2: The rest. Case 1 includes all the ones that begin and end in 2. So we don't want to count those again. So the ones that end with 2 but don't begin with 2 are the three digit numbers 100 through 199 with a 2 placed on the end. There are 100 of those. Answer: 1000 + 100 = 1100 Edwin