A five-digit number whose digits are not equal to each other does not contain the number 0, and the sum of the digits is 18. How many such five-digit numbers are there?
一个各位数字互不相等的五位数不含数字0，且数字和为18，这样的五位数共有多少个？
<gadget id="calculator">5 * 4 * 3 * 2 * 1</gadget>
<output>120</output>

<gadget id="calculator">120 * 3</gadget>
<output>360</output>

<result>360</result>