Write the greatest and the smallest $7$ -digit number, using the digits
$2, 0, 3, 5 a n d 8$

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Solution

Step 1: Finding greatest $7$ -digit numbers
Numbers can be repeated. So, we can repeat the larger number among them and to find the greatest number is to arrange all elements in the descending order
The number becomes $8885320$
Step 2: Finding smallest $7$ -digit numbers
Numbers can be repeated. So, we can repeat the smallest non zero number among them and to find the smallest number is to arrange all elements in the ascending order
The number becomes $2000358$
Hence, the greatest and the smallest $7$ -digit number are $8885320$ and $2000358$ respectively.

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