Question

Find the difference between the greatest and the least 5-digit number that can be written using the digits \[6,2,7,4,3\] each only once.

Answer 1

Hint: Greater number will begin with $7$ and smallest number will begin with $2$.
Given digits: \[6,2,7,4,3\]

For the greatest number, we will arrange these numbers in decreasing order and for the smallest number, we will arrange in increasing order.
$\therefore $Greatest number$ = 76432$ and Smallest number$ = 23467$
Hence, difference between greatest number and smallest number$ = 76432 - 23467 = 52965$
Therefore, the difference between the greatest and the least 5-digit number that can be written using the digits \[6,2,7,4,3\] is $52965$.

Note: Whenever you are supposed to find the greatest number and smallest number formed using certain digits, always start with the largest digit first and smallest digit first respectively.