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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