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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

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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.

This problem has been solved

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