There are 6 wooden boxes, numbered 1, 2, 3, ..., 6. Each box has a key, and the 6 keys are different. Put a key into each box and lock it: first dig out numbers 1 and 2 The box, you can take out the key to open the lock on the box, if you can finally unlock all 6 locks, it is said that this is a "good" way to put the key, so how many "good" ways are there in total?
有6个木箱，编号为1、2、3、…、6，每个箱子有一把钥匙，6把钥匙各不相同，每个箱子放进一把钥匙锁好：先挖开1、2号箱子，可以取出钥匙去开箱子上的锁，如果最终能把6把锁都打开，则说这是一种放钥匙的"好"的方法，那么"好"的方法共多少种．
<gadget id="calculator">4 * 2 * 2 * 3 * 2</gadget>
<output>96</output>

<gadget id="calculator">2 * 2 * 3 * 2 * 2 * 3</gadget>
<output>144</output>

<gadget id="calculator">96 + 144</gadget>
<output>240</output>

<result>240</result>