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Question

Find the difference between the greatest and the least number that can be written using the digits 6,2,7,4,3 each only once.


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Solution

Compute the required difference:

Here in the given digits 7 is the greatest one digit.

Arrange the digits from greatest to least, that is, 76432.

Similarly, here in the given digits 2 is the least one.

Arrange the digits from least to greatest, that is, 23467.

That is the difference between the greatest and least number is

= 76432-23467

=52965

Hence, the required difference is 52965.


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