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.

Answer 1

$\text{Greatest five-digit number using digits 6, 2, 7, 4, 3 \: \: \: = \: \: \: 76432}$


$\text{Smallest five-digit number using digits 6, 2, 7, 4, 3 \: \: \: =\: \: – 23467}$


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$\text{Difference \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \: \: \: 52965}$
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$\textbf{Therefore the difference is 52965.}$

Answer 2

Answer:

52965

Step-by-step explanation:

The greatest number that can be written using the digits 6, 2, 7, 4, and 3 each only once will be the number obtained by arranging the digits from larger to smaller in order, i.e. 76432.

Again the smallest number that can be written using the same digits each only once will be the number obtained by arranging the digits from smaller to larger in order, i.e. 23467.

Therefore, the difference between the greatest and the least numbers will be (76432 - 23467) =52965. (Answer)