Question 774007
<pre>
The number of ways to arrange N things is a queue in different
orders is N!

There are 12! ways to arrange the order of the women.
For each of those ways there are 15! ways to arrange the order of
the men.

Answer 12!×15! = 479001600×1307674368000 = 626,378,114,550,988,800,000

or 626 quintillion, 378 quadrillion, 114 trillion, 550 billion, 988 million, 800 thousand.

Edwin</pre>