Choose 7 different numbers from natural numbers 1-12 so that their sum is a multiple of 3. How many different ways are there?
从自然数1-12中选取7个不同的数字，使其和是3的倍数，请问有多少种不同的选法．
<gadget id="calculator">2 + 2 + 2 + 0 + 0</gadget>
<output>6</output>

<gadget id="calculator">4 * 6</gadget>
<output>24</output>

<gadget id="calculator">6 * 6 * 4</gadget>
<output>144</output>

<gadget id="calculator">4 * 4 * 3</gadget>
<output>48</output>

<gadget id="calculator">4 + 24 + 144 + 4 + 48 + 24</gadget>
<output>248</output>

<result>248</result>