Question 1177039
<br>
2 of the 6 seniors <b>AND</b> 3 of the other 8<br>
<b>OR</b><br>
3 of the 6 seniors <b>AND</b> 2 of the other 8<br>
<b>OR</b><br>
4 of the 6 seniors <b>AND</b> 1 of the other 8<br>
<b>OR</b><br>
5 of the 6 seniors <b>AND</b> 0 of the other 8<br>
<b>OR</b><br>
Translate that directly using appropriate "a choose b" numbers, multiplying where there is an <b>AND</b> and adding where there is an <b>OR</b>:<br>
{{{C(6,2)*C(8,3)+C(6,3)*C(8,2)+C(6,4)*C(8,1)+C(6,5)*C(8,0)}}}<br>
You can do the calculations....<br>