1. **Stating the problem:** We need to find the number of different 5-digit combinations possible on a lock with 5 wheels labeled 0 to 9 when digits can be repeated. 2. **Understanding the problem:** Each wheel can show digits from 0 to 9, so there are 10 possible digits per wheel. 3. **Case: Digits can be repeated.** - For each of the 5 wheels, there are 10 choices since repetition is allowed. 4. **Formula used:** The number of combinations with repetition allowed is given by: $$10^5$$ 5. **Calculating:** $$10^5 = 10 \times 10 \times 10 \times 10 \times 10 = 100000$$ 6. **Answer:** The number of different 5-digit combinations possible if digits can be repeated is **100000**.