Question 881956
<pre>
Number the people from 1 to 14

1  2  3  4  5  6  7  8  9 10 11 12 13 14 
W  W  W  M  M  M  M  M  M  M  M  W  W  W

Choose person  1 as any of 6 women.
Choose person  2 as any of the 5 remaining women.
Choose person  3 as any of the 4 remaining women.
Choose person  4 as any of the 8 men.
Choose person  5 as any of the 7 remaining men.
Choose person  6 as any of the 6 remaining men.
Choose person  7 as any of the 5 remaining men.
Choose person  8 as any of the 4 remaining men.
Choose person  9 as any of the 3 remaining men.
Choose person 10 as either of the 2 remaining men.
Choose person 11 as the 1 remaining man.
Choose person 12 as any of the 3 remaining women.
Choose person 13 as either of the 2 remaining women.
Choose person 14 as the 1 remaining woman.

{{{6*5*4*red(8*7*6*5*4*3*2*1)*3*2*1 = 6!*red(8!) = 29030400}}}

Edwin</pre>