Question

Write the smallest 6-digit number having all different digits?

Answer 1

In this problem, we have to find the smallest 6-digit number having all different digits. Here we can take the number from 1 to the next consecutive numbers up to its sixth digit. We can write the number 1, then we can take 0 as the second digit, as if we take 0 as the first digit it gives five digits of the total number. So, we can take 0 as the second digit and then 2 as the third and so on. We can now write the answer.

Complete step by step solution:
Here we have to find the smallest 6-digit number having all different digits.
Here we can take the number 0, 1, 2, 3, 4, 5.
We can now arrange it in the smallest form.
We can first take 1 as the first digit, as when we take 0 as first digit, then it gives a five-digit number.
We can now take 0 as the second digit to form the smallest six-digit number.
We can now take 2 as the third digit, 3 as the fourth digit, 4 as the fifth digit and finally 5 as the sixth digit.
We can now arrange in order, we get
$\Rightarrow 102345$
Therefore, the smallest 6-digit number having all different digits is 102345.

Note: We should remember that We can write the number 1, then we can take 0 as the second digit, as if we take 0 as the first digit it gives five-digit of the total number. So, we can take 0 as the second digit and then 2 as the third and so on. We should also see that the number should be different.