Question

number of three-digit codes using digits 0-9

Answer 1

To determine the number of three-digit codes that can be formed using the digits 0-9, we can analyze it as follows:

1. **Positions in the Code**: A three-digit code consists of three positions: the first digit, the second digit, and the third digit.
2. **Choices for Each Position**: For each of the three positions, we can choose any digit from 0 to 9.

Since there are 10 options (the digits 0 to 9) for each position, we can calculate the total number of combinations as follows:

\[
\text{Total number of codes} = (\text{choices for the first digit}) \times (\text{choices for the second digit}) \times (\text{choices for the third digit}) = 10 \times 10 \times 10
\]

Calculating this gives:

\[
10^3 = 1000
\]

So, the total number of three-digit codes that can be formed using the digits 0-9 is **1000**.