Use the given digits without repetition and make the smallest 4-digit numbers.9, 7, 4, 1
Question
Use the given digits without repetition and make the smallest 4-digit numbers.
Digits: 9, 7, 4, 1
Solution
To create the smallest 4-digit number using the digits 9, 7, 4, and 1 without repetition, we can follow these steps:
1. Break Down the Problem
We want to arrange the digits (9, 7, 4, 1) to form the smallest possible 4-digit number.
2. Relevant Concepts
To form the smallest number, we need to arrange the digits in ascending order from left to right.
3. Analysis and Detail
- The digits in ascending order are: 1, 4, 7, 9.
- Arranging these from the smallest to the largest gives us the smallest 4-digit number.
4. Verify and Summarize
The arranged digits form the number 1479, which is indeed the smallest 4-digit number that can be made with the given digits.
Final Answer
The smallest 4-digit number using the digits 9, 7, 4, and 1 without repetition is 1479.
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