1.

\[2{{C}_{0}}+\frac{{{2}^{2}}}{2}{{C}_{1}}+\frac{{{2}^{3}}}{3}{{C}_{2}}+....+\frac{{{2}^{11}}}{11}{{C}_{10}}\] [MP PET 1999; EAMCET 1992]

A. \[\frac{{{3}^{11}}-1}{11}\]
B. \[\frac{{{2}^{11}}-1}{11}\]
C.   \[\frac{{{11}^{3}}-1}{11}\]
D. \[\frac{{{11}^{2}}-1}{11}\]
Answer» B. \[\frac{{{2}^{11}}-1}{11}\]


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