Question 1139215
.


This part of your condition 

<pre>
    how many ways are there to do so without regard to gender it's exactly half of the committee must be women
</pre>is <U>self-contradictory</U>.



The correct formulation of the question is <U>THIS</U> :

<pre>
    how many ways are there to do so if exactly half of the committee must be women
</pre>