find an even number having the same digits that is greather than 200 but less than 300

To find an even number with the same digits that is greater than 200 but less than 300, we need to consider the possible combinations of digits in the hundreds and tens place.

The hundreds place can only be filled with the digit 2, as we want a number greater than 200 but less than 300.

For the tens and ones place, we can choose from the digits 0, 2, 4, 6, or 8 to make an even number.

Let's go through the possibilities:

- 220: This number satisfies our conditions, as it is greater than 200 and has the same digits.
- 240, 260, or 280: These numbers are also valid, as they are greater than 200 and have the same digits.

Therefore, the even numbers with the same digits that are greater than 200 but less than 300 are 220, 240, 260, and 280.