8 students and 7 teachers are engaged in a tug-of-war competition. First, a teacher is selected as the referee, and then the remaining 14 people are divided into two teams. Each team must contain 4 students and 3 teachers. How many different methods of teaming are there? ?
8名学生和7名老师进行拔河比赛，首先选一名老师担任裁判，接着再把其余14人分成两队，每队都必须包含4名学生和3名老师，那么共有多少种不同的分队方法？
<gadget id="calculator">8 * 7 * 6 * 5</gadget>
<output>1_680</output>

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

<gadget id="calculator">1_680 / 24</gadget>
<output>70</output>

<gadget id="calculator">6 * 5 * 4</gadget>
<output>120</output>

<gadget id="calculator">3 * 2 * 1</gadget>
<output>6</output>

<gadget id="calculator">120 / 6</gadget>
<output>20</output>

<gadget id="calculator">7 * 70 * 20</gadget>
<output>9_800</output>

<result>9_800</result>