How many three-digit even numbers can be formed, using the numbers 0, 1, 2, 3, 4, 5 and 6, if they can be repeated?

Three-Digit Even Numbers: 168 Default (GPT-3.5) User How many three-digit even numbers can be formed, using the numbers 0, 1, 2, 3, 4, 5 and 6, if they can be repeated? ChatGPT To form a three-digit even number using the given digits (0, 1, 2, 3, 4, 5, 6) with repetitions allowed, you have several choices to make: The hundreds digit: It can be any of the digits except 0 (since we want three-digit numbers). So there are 6 choices for the hundreds digit (1, 2, 3, 4, 5, 6). The tens digit: It can be any of the digits (0, 1, 2, 3, 4, 5, 6) because even numbers can end with any of these digits. The units (ones) digit: It must be even, so it can be either 0, 2, 4, or 6. To find the total number of three-digit even numbers that can be formed, you can multiply the number of choices for each digit: 6 (choices for the hundreds digit) × 7 (choices for the tens digit) × 4 (choices for the units digit) = 168. So, there are 168 three-digit even numbers that can be formed using the given digits with repetitions allowed.