\[{{C}_{1}}+2{{C}_{2}}+3{{C}_{3}}+4{{C}_{4}}+....+n{{C}_{n}}=\] [RPET 1995; MP PET 2002; Orissa JEE 2005]

\[{{C}_{1}}+2{{C}_{2}}+3{{C}_{3}}+4{{C}_{4}}+....+n{{C}_{n}}=\] [RPET

1.	\[{{C}_{1}}+2{{C}_{2}}+3{{C}_{3}}+4{{C}_{4}}+....+n{{C}_{n}}=\] [RPET 1995; MP PET 2002; Orissa JEE 2005]
A.	\[{{2}^{n}}\]
B.	\[n.\,\,{{2}^{n}}\]
C.	\[n.\,\,{{2}^{n-1}}\]
D.	\[n.\,\,{{2}^{n+1}}\]
Answer» D. \[n.\,\,{{2}^{n+1}}\]

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\[{{C}_{1}}+2{{C}_{2}}+3{{C}_{3}}+4{{C}_{4}}+....+n{{C}_{n}}=\] [RPET 1995; MP PET 2002; Orissa JEE 2005]

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