How many even integers between $100$ and $1000$ have distinct digits?
I tried:
$9 \cdot 9 \cdot 5=405$
$9$ [$9,8,7,6,5,4,3,2,1$ ($9$)]
$9$ [$9, 8, 7, 6, 5, 4, 3, 2, 1, 0$ ($10$)] - the first one picked ($1$)
$5$ ($0,2,4,6,8$)
But the answer of exercise is $328$. I don't know why.