SOLUTION: Given 12 women and 15 men, in how many ways can they be arranged in a queue with all women seated in front of men? Please help Thank you.

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Question 774007: Given 12 women and 15 men, in how many ways can they be arranged in a queue with all women seated in front of men?
Please help
Thank you.
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
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