Question

Write the smallest $5$-digit number that can be formed with the smallest digits without repeating any.

Answer 1

Finding the required $5$-digit number

Arrange the first five smallest digits in ascending order.

$0<1<2<3<4$

Now, form the required number using the digits in above order without repeating any digit twice.

We cannot place $0$ at the extreme left (zero at start will make the number a 4-digit number), substitute it with the digit on its immediate right .

Therefore, the required smallest $5$-digit number is $10,234$.