SOLUTION: A club with 10 men and 10 women form a committee of eight how many ways are there to do so without regard to gender it's exactly half of the committee must be women

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Question 1139215: A club with 10 men and 10 women form a committee of eight how many ways are there to do so without regard to gender it's exactly half of the committee must be women
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
there have to be 4 men and 4 women chosen
this would be 10C4*10C4 ways, or 210*210, or 44,100.

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

This part of your condition 
    how many ways are there to do so without regard to gender it's exactly half of the committee must be women
is self-contradictory.


The correct formulation of the question is THIS : 
    how many ways are there to do so if exactly half of the committee must be women