Question

The smallest $5-\mathrm{digit}$ number using two different digits is

• A. $10001$
• B. $11110$
• C. $10000$
• D. $10111$

Answer 1

The correct option is C

$10000$

Explanation for the correct option:

Option $C$: $10000$

We can use two different digits $0,1$ to make the smallest $5-\mathrm{digit}$ number.

We cannot use zero at the ten thousands place as the number will become $4-\mathrm{digit}$ number.

So, we will place the next number which is $1$ in the ten thousands place and then $0$ in the remaining places.

Therefore, the smallest $5-\mathrm{digit}$ number using two different digits is $10000$.

Hence, the correct option is option $C$.