Why is $\displaystyle _nC_0=1$?

Printable View

- Sep 10th 2009, 05:26 PMchengbinSimple permutation question
Why is $\displaystyle _nC_0=1$?

- Sep 10th 2009, 05:34 PMpickslides
As $\displaystyle 0! = 1$ then

$\displaystyle

^nC_0 = \frac{n!}{0!(n-0)!}= \frac{n!}{n!}= 1

$