A) \[{{2}^{n}}\]
B) 0
C) \[{{3}^{n}}\]
D) None of these
Correct Answer: C
Solution :
\[{{(1+x)}^{n}}={}^{n}{{C}_{0}}+x.{}^{n}{{C}_{1}}+{{x}^{2}}.{}^{n}{{C}_{2}}+....+{{x}^{n}}.{}^{n}{{C}_{n}}\] Put x = 2 Þ \[{{3}^{n}}={}^{n}{{C}_{0}}+2.{}^{n}{{C}_{1}}+{{2}^{2}}.{}^{n}{{C}_{2}}+{{2}^{3}}.{}^{n}{{C}_{3}}+....+{{2}^{n}}{{.}^{n}}{{C}_{n}}\].
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