Thursday, August 26, 2010

`((10),(4))` Find the binomial coefficient.

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


`((n),(k)) = (n!)/(k!(n-k)!)`


You need to replace 10 for n and 6 for k, such that:


`((10),(4)) = (10!)/(4!(10-4)!) )=> ((10),(4) )=  (10!)/(4!6!)`


Notice that `10! = 6!*7*8*9*10`


`((10),(4)) = (6!*7*8*9*10)/(6!4!)  =>  ((10),(4)) =(7*8*9*10)/(1*2*3*4) = 210`


Hence, evaluating the binomial coefficient yields `((10),(4)) = 210.`

No comments:

Post a Comment

How does the choice of details set the tone of the sermon?

Edwards is remembered for his choice of details, particularly in this classic sermon. His goal was not to tell people about his beliefs; he ...