Question

Find the difference between the largest and the smallest $6$- digit numbers formed by the digits $8,0,2,7,5$ and $9$.

Answer 1

Given numbers are $8,0,2,7,5$ and $9$.

If given digits are allowed to repeat any digit then, the largest number (9).

Then largest number is $9,99,999$.

Smallest number is $2,00,000$ and difference is $7,99,999$.

If repeating is not allowed then largest number is $9,87,520$ and smallest number is $2,05,789$.

Then difference of numbers is $7,81,731$.