Question

The number of 3-digit numbers that can be formed from the digits 0, 2, 3, 5, 7 is (repetition is allowed)

• A. 125
• B. 100
• C. 105
• D. 150
• E. 60

Answer 1

The Correct Option is B

We are asked to find the number of 3-digit numbers that can be formed from the digits 0, 2, 3, 5, and 7, where repetition is allowed.

For a 3-digit number, the first digit cannot be 0, so it must be one of the digits 2, 3, 5, or 7. Therefore, there are 4 possible choices for the first digit.

The second and third digits can be any of the 5 given digits (0, 2, 3, 5, or 7), so there are 5 choices for each of these digits. 

Thus, the total number of 3-digit numbers is:

\(4 \times 5 \times 5 = 100\)

The number of 3-digit numbers that can be formed is 100.