Question

Write the greatest and the smallest $5$-digit numbers using $6,3,8,2$ by using any one digit twice.

Answer 1

Step 1. Forming greatest $5$-digit number:

While forming a greatest number using given digits, arrange the digits in descending order from extreme left.

Repeating the greatest digit would give us greatest number when arranged in descending order.

Now, $8>6>3>2$.

So, $88632$ is the required number.

Step 2. Forming smallest $5$-digit number:

While forming a smallest number using given digits, arrange the digits in ascending order from extreme left.

Repeating the smallest digit would give us smallest number when arranged in ascending order.

Now, $2<3<6<8$.

So, $22368$ is the required number.

Thus, $88632$ and $22368$ are the greatest and smallest $5$-digit numbers using $6,3,8,2$ by using any one digit twice.