Question

How many 3-digit numbers can be formed using the digit 0, 1, 2, 3 without repetitions?

Answer 1

The four given digits are 0, 1, 2 and 3.

Three-digit numbers are of the form .

We need to find the number of 3-digit numbers that can be formed using the given digits without repetition.

0 cannot be at the hundreds place. Thus, the hundreds place can be filled with 3 digits (1, 2 or 3).

Then, the tens place can be filled with the remaining 3 digits and the ones place can be filled with the remaining 2 digits.

Thus, there are three-digit numbers that can be formed using the given digits without repetition.