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

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Solution

$\begin{matrix} Greatest five-digit number using digits 6,2,7,4,3 = 76, 432 Smallest five-digit number using digits 6,2,7,4,3 = 23, 467 Difference = 76, 432 - 23, 467 = 52, 965 \end{matrix}$

Therefore the difference is $52, 965$ .

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

Greatest five-digit number using digits 6,2,7,4,3=76,432Smallest five-digit number using digits 6,2,7,4,3=23,467Difference=76,432−23,467=52,965 Therefore the difference is 52,965.

$\begin{matrix} Greatest five-digit number using digits 6,2,7,4,3 = 76, 432 Smallest five-digit number using digits 6,2,7,4,3 = 23, 467 Difference = 76, 432 - 23, 467 = 52, 965 \end{matrix}$

Therefore the difference is $52, 965$ .