Question 1120042
<font face="Times New Roman" size="+2">


10 choose 3 ways to choose the first team, then for each of those choices there are 7 choose 3 ways to choose the second team.  Then the product of those two numbers times 4 choose 3 ways to choose the third team, times 1 way to choose the judge.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ {{10}\choose{3}}\,\cdot\,{{7}\choose{3}}\,\cdot\,{{4}\choose{3}}\,\cdot\,1]


Do the arithmetic.
								
								
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}}

</font>