This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
543
Here are the greatest and smallest 3-digit numbers for each set of digits:
a) Digits: 4, 3, 5 To form the greatest number, arrange the digits in descending order: 5, 4, 3. To form the smallest number, arrange the digits in ascending order: 3, 4, 5. Greatest number: Smallest number:
b) Digits: 6, 1, 2 To form the greatest number, arrange the digits in descending order: 6, 2, 1. To form the smallest number, arrange the digits in ascending order: 1, 2, 6. Greatest number: Smallest number:
c) Digits: 9, 7, 4 To form the greatest number, arrange the digits in descending order: 9, 7, 4. To form the smallest number, arrange the digits in ascending order: 4, 7, 9. Greatest number: Smallest number:
d) Digits: 4, 5, 3 To form the greatest number, arrange the digits in descending order: 5, 4, 3. To form the smallest number, arrange the digits in ascending order: 3, 4, 5. Greatest number: Smallest number:
e) Digits: 8, 7, 6 To form the greatest number, arrange the digits in descending order: 8, 7, 6. To form the smallest number, arrange the digits in ascending order: 6, 7, 8. Greatest number: Smallest number:
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a) Digits: 4, 3, 5 To form the greatest number, arrange the digits in descending order: 5, 4, 3.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.