To find the numbers between 99 and 1000 that have at least one digit as 7, we can consider the different positions where the digit 7 can occur. 1. Numbers with 7 in the units place: In this case, the hundreds and tens places can be filled with digits ranging from 0 to 9 (excluding 7). So, in total, there are 9 * 10 = 90 numbers. 2. Numbers with 7 in the tens place: Here, the hundreds place can be filled with numbers ranging from 1 to 9, and the units place can be filled with digits ranging from 0 to 9 (excluding 7). So, there are 9 * 1 * 9 = 81 numbers. 3. Numbers with 7 in the hundreds place: In this case, the tens and units places can be filled with digits ranging from 0 to 9 (excluding 7), resulting in 9 * 10 = 90 numbers. Therefore, the total count of numbers between 99 and 1000 with at least one digit as 7 is 90 + 81 + 90 = 261.