If \( (1+x)^{n}=C_{0}+C_{1} x+C_{2} x^{2}+\ldots . .+C_{n} x^{n} \), then \( C_{0} C_{2} \) \( +....

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If \( (1+x)^{n}=C_{0}+C_{1} x+C_{2} x^{2}+\ldots . .+C_{n} x^{n} \), then \( C_{0} C_{2} \)
\( \mathrm{P} \)
\( +C_{1} C_{3}+C_{2} C_{4}+C_{n-2} C_{n} \) equals
W
(1) \( \frac{(2 n) !}{(n+1) !(n+2) !} \)
(2) \( \frac{(2 n) !}{(n-2) !(n+2) !} \)
(3) \( \frac{(2 n) !}{(n) !(n+2) !} \)
(4) \( \frac{2 n !}{(n-1) !(n+2) !} \)


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