You are given the digits 7,2,5,9, and you can only use each digit once in each number.
Write down all the 3-digit even numbers less than 600 that you can form.
Since 2 is the only even digit, and cannot be repeated, it must be the units digit. The first digit must be 5.
So the only possible numbers are 572 and 592
Since they are both less than 600, the answer is:
572, 592.
To find the 3-digit even numbers less than 600 that can be formed using the given digits (7, 2, 5, 9), we need to follow a systematic approach.
First, we need to determine the possible options for the hundreds place. Since the number must be less than 600, the only option for the hundreds place is 2.
Next, let's consider the options for the tens and units places. The remaining digits are 7, 5, and 9. To form an even number, the units place must be either 2 or 4.
Let's list the possibilities:
1. 257
2. 259
3. 275
4. 297
To verify that each number is even, we can check if the units digit is divisible by 2. All of the numbers listed above have an even units digit and are therefore even numbers.
Therefore, the 3-digit even numbers less than 600 that can be formed using the given digits (7, 2, 5, 9) are: 257, 259, 275, and 297.