The number of 3-digit numbers that can be formed from the digits 0, 2, 3, 5, 7 is (repetition is allowed)
- 125
- 100
- 105
- 150
- 60
The Correct Option is B
Solution and Explanation
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.
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