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Question

Find the difference between the largest and the smallest number of 4 digits of the number 6174.


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Solution

First, we will find out the largest 4-digit number using digits 6, 1, 7, and 4.
We will start with the greatest digit 7 among given digits at the leftmost place digit. So, we will write digits in descending order for the largest number.
7641

Next, the smallest 4-digit number using digits 6, 1, 7, and 4.
We will start with the smallest digit 1 among given digits at the leftmost place digit. So, we will write digits in asxending order.
1467

Difference of these two numbers
76411467=6174


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