If \[{{(1+x)}^{n}}={{C}_{0}}+{{C}_{1}}x+{{C}_{2}}{{x}^{2}}+...+{{C}_{n}}{{x}^{n}}\], then the value of \[{{C}_{0}}+{{C}_{2}}+{{C}_{4}}+{{C}_{6}}+.....\] is [RPET 1997]

If \[{{(1+x)}^{n}}={{C}_{0}}+{{C}_{1}}x+{{C}_{2}}{{x}^{2}}+...+{{C}_{n

1.	If \[{{(1+x)}^{n}}={{C}_{0}}+{{C}_{1}}x+{{C}_{2}}{{x}^{2}}+...+{{C}_{n}}{{x}^{n}}\], then the value of \[{{C}_{0}}+{{C}_{2}}+{{C}_{4}}+{{C}_{6}}+.....\] is [RPET 1997]
A.	\[{{2}^{n-1}}\]
B.	\[{{2}^{n-1}}\]
C.	\[{{2}^{n}}\]
D.	\[{{2}^{n-1}}-1\]
Answer» B. \[{{2}^{n-1}}\]

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If \[{{(1+x)}^{n}}={{C}_{0}}+{{C}_{1}}x+{{C}_{2}}{{x}^{2}}+...+{{C}_{n}}{{x}^{n}}\], then the value of \[{{C}_{0}}+{{C}_{2}}+{{C}_{4}}+{{C}_{6}}+.....\] is [RPET 1997]

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