Question

The smallest five digit number using two different digits is

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

Answer 1

The correct option is C

10000

Forming a five digit number using two different digits:

1. While forming a smallest number arrange the given digits in ascending order from left.
2. The smallest five digit number is the successor of largest four digit number.

Smallest two digits are $1$ and $0$.

If $0$ is at the first place from left i.e. ten thousands place then it will become a four digit number.

$10000$ is smallest five digit number.

Also, $10000=9999+1$ i.e. successor of $9999$.

Thus, $10000$ is the smallest five digit number formed using two different digits.