A total of 23, 950, 080 results are possible.
We are given;
10 women
12 men
5 men and 5 women, chosen and pared off, how many results in total?
Thus;
[10 choose 5] x [12 choose 5]=252 x 792 = 199584 ways
We then need to know how many ways there could put into pairs i.e. For the first woman, there will be 5 choices of men. For the second woman, there will be 4 choices remaining of men. For the third woman, there will be 3 choices remaining. For the fourth woman, there will be only 2choices remaining, and only 1 choice left for the last woman.
Therefore, there are 5x4x3x2x1 = 120 ways.
In total there are 199584x120 = 23950080 total ways
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