Question
Write the greatest $6$-digit number formed by three different digits.
✓
Answer
To write the greatest $6$-digit number having three different digits, we will have to use three largest digits.
Clearly $9, 8$ and $7$ are three largest digits.
In order to write the largest $6$-digit number using digits $7, 8$ and $9$,
we put the largest digit $9$ at the place having the highest place value.
The smallest digit $7$ is put at the right most place i.e. at unit's place and the digit $8$ is put at the ten's place.
All other places are filled by $9$. Hence, the required number $= 999987.$
Clearly $9, 8$ and $7$ are three largest digits.
In order to write the largest $6$-digit number using digits $7, 8$ and $9$,
we put the largest digit $9$ at the place having the highest place value.
The smallest digit $7$ is put at the right most place i.e. at unit's place and the digit $8$ is put at the ten's place.
All other places are filled by $9$. Hence, the required number $= 999987.$
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