There are 5 people A, B, C, D, and E, corresponding to 5 items a, b, c, d, and e. Each person takes one, but cannot take their own. How many options are there in total?
A、B、C、D、E一共5个人，对应a、b、c、d、e5个物品，每人拿一个，但不能拿自己的，一共有多少种方案？
<gadget id="calculator">5 * 4 * 3 * 2 * 1</gadget>
<output>120</output>

<gadget id="calculator">10 * 1</gadget>
<output>10</output>

<gadget id="calculator">10 * 2</gadget>
<output>20</output>

<gadget id="calculator">3 * 3 * 1 * 1</gadget>
<output>9</output>

<gadget id="calculator">5 * 9</gadget>
<output>45</output>

<gadget id="calculator">120 - 1 - 10 - 20 - 45</gadget>
<output>44</output>

<result>44</result>