Question 1162099
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In this one, order counts, so you need the Permutations of *[tex \Large n] things taken *[tex \Large r] at a time.


For the boys, there are 6 ways to choose first place and for each of those ways, there are 5 ways to choose second place for a total of 30 ways to choose first and second.  Then, for each of those 30 ways, there are 4 ways to choose third place for a total of 120 ways to choose the three top boys in order.


The same calculation for the girls.


For each of the 120 ways to choose the boys, there are 120 ways to choose the girls.
								
								
John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
<img src="http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg">
*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  
								
{{n}\choose{r}}
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