The smallest number greater than 50000 which can be made by the digits...
Understanding the Problem
To find the smallest number greater than 50000 using the digits 1, 0, 6, 3, and 9 without repetition, we need to follow a systematic approach.
Step 1: Analyze the Digits
- Available digits: 1, 0, 6, 3, 9
- We need a five-digit number greater than 50000.
Step 2: Determine the Starting Digit
- The first digit must be 5 or greater.
- The available digits greater than 5 are 6 and 9.
Step 3: Form Numbers with Each Starting Digit
1. Starting with 6
- Remaining digits: 1, 0, 3, 9
- Smallest arrangement of remaining digits: 0, 1, 3, 9
- Thus, the number is 60139.
2. Starting with 9
- Remaining digits: 1, 0, 6, 3
- Smallest arrangement of remaining digits: 0, 1, 3, 6
- Thus, the number is 90136.
Step 4: Compare the Numbers
- We compare 60139 and 90136.
- The smallest number is 60139.
Conclusion
The smallest number greater than 50000 that can be formed using the digits 1, 0, 6, 3, and 9 without repetition is 60139.
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