The numbers 1, 2, 3, 4, and 5 are written on the 5 cards, and several cards are taken out from them. If the number formed by the numbers on this set of cards is a multiple of 3, this number is called a "good number". So how many different "good numbers" are there?
5张卡片上分别写着数字1，2，3，4，5，从中取出若干张卡片，如果这组卡片上的数字组成的数是3的倍数，则称这个数为一个"好数"，那么不同的"好数"有多少个．
<gadget id="calculator">3 * 2 * 1 * 2</gadget>
<output>12</output>

<gadget id="calculator">4 * 3 * 2 * 1</gadget>
<output>24</output>

<gadget id="calculator">5 * 4 * 3 * 2 * 1</gadget>
<output>120</output>

<gadget id="calculator">1 + 4 + 12 + 24 + 120</gadget>
<output>161</output>

<result>161</result>