Question 1177349
<font face="Times New Roman" size="+2">


*[tex \LARGE \ \ \ \ \ \ \ \ \ \  {{7}\choose{2}} \cdot {{6}\choose{3}} \cdot {{5}\choose{2}} \cdot {{3}\choose{1}} \cdot {{5}\choose{3}}]


where


*[tex \LARGE \ \ \ \ \ \ \ \ \ \  {{n}\choose{r}}]


is read "n choose r" meaning the number of ways n things can be chosen r at a time and is calculated by:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{n!}{r!(n\,-\,r)!}]


You can do your own arithmetic.

																
John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
*[illustration darwinfish.jpg]

From <https://www.algebra.com/cgi-bin/upload-illustration.mpl> 
I > Ø
*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  
								
{{n}\choose{r}}
</font>