Monday, 30 September 2013

How does one prove that $6$ divides ${(3n)!}/{(n!)^3}$=?iso-8859-1?Q?=3F_=96_math.stackexchange.com?=

How does one prove that $6$ divides ${(3n)!}/{(n!)^3}$? –
math.stackexchange.com

How does one prove that $6$ divides the multinomial coefficient
$\displaystyle \frac{(3n)!}{\;(n!)^3}$?

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