Value of \[ \sum_{r=k}^{n}(-1)^{k-r}\left(\begin{array}{l} n \\ r \...

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Value of
\[
\sum_{r=k}^{n}(-1)^{k-r}\left(\begin{array}{l}
n \\
r
\end{array}\right)-\sum_{r=0}^{n-k}(-1)^{n-k-r}\left(\begin{array}{l}
n \\
r
\end{array}\right)
\]
is
(a) \( (-1)^{n} \)
(b) 1
(c) \( -1 \)
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