Question & Answer » Mathematics Questions » What is the smallest 3-digit number with unique digits

What is the smallest 3-digit number with unique digits

What is the smallest 3-digit number with unique digits?

If the number is a positive integer & there are no repeating digits, it will be unique. To put it another way, a number is considered to be unique only if all its digits are different. For example, 20, 56, 9863, 145, and so on are unique numbers, however 33, 121, 900, 1010, and so on are not.

We need to find a number with unique digits, so we’ll use 1 as the first digit because a number can’t begin with 0, and 0 as the second digit to keep the number small. Since we’ve already used 0 and 1 as digits and we need to use unique digits, we’ll use the smallest digit other than 0 and 1 as the third digit to keep the number small.

As a result, the smallest 3-digit unique number will be 102.