Answer
$0$
Work Step by Step
$\binom{a}{b}=\binom{a}{a-b} $
$ \binom {5}{0}=\binom {5}{5}$
$ \binom {5}{1}=\binom {5}{4}$
$ \binom {5}{2}=\binom {5}{3}$
$ \binom {5}{0}-\binom {5}{1}+ \binom {5}{2}-\binom {5}{3}+\binom {5}{4}-\binom {5}{5}=0$