Saturday, January 21, 2012

`_12 C_0` Find the binomial coefficient.

You need to evaluate the binomial coefficient, using the next formula, such that:


`nCk= (n!)/(k!(n-k)!)`


You need to replace 12 for n and 0 for k, such that:


`12C0= (12!)/(0!(12-0)!) )=> 12C0=  (12!)/(0!12!)`


`12C0=  (1)/(0!)`


By definition, `0! = 1` :


`12C0 = (1)/(1) = 1`


Hence, evaluating the binomial coefficient yields `12C0 = 1.`

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