Question 907648
How many different signals can be sent up on a flagpole if each 
signal requires seven blue and seven yellow flags and the flags 
are identical except for color?
<pre>
The answer would be 14! if all the flags of the same color could 
be told apart.  But since they can't we must divide by the number 
of ways the 7 blue flags could be rearranged which is 7!, and 
also by the number of ways the 7 yellow flags could be rearranged
which is also 7!

Answer: {{{14!/(7!7!)}}} = 3432

Edwin</pre>