Question 830282
<pre>
Choose the order of the 4 nationalities in 4! ways.
Choose the order of the 3 Americans in 3! ways.
Choose the order of the 3 Frenchmen in 3! ways.
Choose the order of the 3 Danes in 3! ways
Choose the order of the 2 Italians in 2! ways.

Answer 4!3!3!3!2! = (24)(6)(6)(6)(2) = 10368 ways.

Edwin</pre>