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# What is the difference between the largest and smallest numbers formed by the digits $ 4,6,9,8 ? $

Given :

The given digits are 4, 6, 9, 8.

To do :

We have to find the difference between the largest and the smallest numbers formed by using the given digits each only once.

Solution :

The greatest 4 digit number formed using the digits 4, 6, 9, 8 each only once is $9864$.

The smallest 4 digit number formed using the digits 4, 6, 9, 8 each only once is $4689$.

The difference between the greatest and the least 4 digit numbers formed using the digits 4, 6, 9, 8 each only once $= 9864-4689 =5175 $.

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