The even digits are {0,2,4,6,8}.
For an integer to be divisible by 5 it must either end in 0 or 5.
5 isn't an even digit, so it can only end in 0.
We can choose the last digit only 1 way, 0.
We can choose the first digit any of the 4 remaining ways: {2,4,6,8}.
We can choose the second digit 3 ways, any of the 3 remaining even
digits that weren't chosen for the first or third digit.
That's 1 = 12. Here they all are:
1. 240
2. 260
3. 280
4. 420
5. 460
6. 480
7. 620
8. 640
9. 680
10. 820
11. 840
12. 860
Edwin
