Question

The number of four digit even numbers that can be formed using the digits 0, 1, 2 and 3 without repetition is:

• A. 10
• B. 4
• C. 6
• D. 6

Hint:

When forming numbers with restrictions (such as even or odd), always consider the position of the digits that fulfill the condition.

Answer 1

The Correct Option is D

We are asked to form four-digit even numbers using the digits 0, 1, 2, and 3 without repetition. 
- The first digit cannot be 0 (since it would not be a four-digit number), so the first digit can be 1, 2, or 3. This gives us 3 choices for the first digit. 
- The last digit must be even, so the last digit can be 0 or 2. Therefore, we have 2 choices for the last digit.
- After selecting the first and last digits, we are left with 2 digits from the remaining available digits. So, for the second digit, we have 2 choices, and for the third digit, we have 1 choice.
Thus, the total number of possible four-digit even numbers is:
3 × 2 × 2 × 1 = 6
So, the correct answer is 6.