How Many 3-Digit Passwords Can Be Formed from the Digits 0 Through 9?

Creating a 3-digit password from the digits 0 through 9 might seem like a simple task, but the possibilities can be quite extensive. To calculate the total number of 3-digit passwords that can be formed, we need to consider that each digit can be used more than once and that the order matters.

With digits ranging from 0 to 9, we have 10 options for each digit space (0, 1, 2, 3, 4, 5, 6, 7, 8, 9). Since we are forming a 3-digit password, we have 10 options for each of the three positions. This means that the total number of 3-digit passwords that can be formed is calculated as:

Number of Passwords = 10 (choices for first digit) x 10 (choices for second digit) x 10 (choices for third digit) = 10^3 = 1000.

Hence, there are 1000 possible 3-digit passwords that can be formed using the digits 0 through 9. This serves as a reminder of the importance of using strong, unique passwords to enhance security.