Question

Write the smallest $7-$digits largest and smallest number having three different digits.

Answer 1

Let the $9$ is greatest decimal digit, the greatest $7-$ digit number would begin with as many nines as possible.

Since there must be $3$ different digits in the $7-$ digits number,

Let begin with five nines and fill the last two places with $8$ and $7$.

The smallest seven digit number is $1000000$

But we need three different digits it will be $1000002$

Now,

Let find their sum $=9999987+1000002=10999989$.