Question

Using the given digits write the smallest and the greatest $5-\mathrm{digit}$ numbers. You repeat any one digit twice.

$8,0,9,5$.

Answer 1

We get the smallest number by putting the smallest digit at the ten thousands place and repeating it at the thousands place.

Here, the smallest digit is zero but we can't repeat it at ten thousand and thousands place as it will form a $3-\mathrm{digit}$ number. So we will repeat it in the thousands and hundreds place.

Therefore, the smallest $5-\mathrm{digit}$ number is $50089$.

Similarly, the greatest number is obtained by putting the greatest digit at the ten thousands place and repeating it at the thousands place.

Therefore, the greatest $5-\mathrm{digit}$ number is $99850$.