How many two-digit numbers can be formed from the digits 0, 1, 2, 3 if a digit can be repeated and no number begins with 0?
We are to form two-digit numbers using the digits 0, 1, 2, 3, with repetition allowed, but the number cannot begin with 0.
- Tens place (first digit): Cannot be 0 → Possible digits = 1, 2, 3 → 3 choices
- Units place (second digit): Can be any of the 4 digits → 0, 1, 2, 3 → 4 choices
Total numbers = 3 × 4 = 12
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