It is known that a three-digit number can be divisible by 45, and its digits are different. How many such three-digit numbers are there?
已知一个三位数能被45整除，它的各位上的数字都不相同．这样的三位数有多少个．
<gadget id="calculator">9 - 3</gadget>
<output>6</output>

<gadget id="calculator">9 + 6</gadget>
<output>15</output>

<result>15</result>