If \( x+y=1 \), then \( \sum_{r=0}^{n} r^{2 n} C_{r} x^{r} y^{n-r} \) equals....

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If \( x+y=1 \), then \( \sum_{r=0}^{n} r^{2 n} C_{r} x^{r} y^{n-r} \) equals
\( \mathrm{P} \)
(1) \( n x y \)
(2) \( n x(x+y n) \)
(3) \( n x(n x+y) \)
(4) None of these



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