If \[{{C}_{0}},{{C}_{1}},\,{{C}_{2}}{{,}^{.}}.......,\,\,{{C}_{15}}\] are binomial coefficients in \[{{(1+x)}^{15}}\], then\[\frac{{{C}_{1}}}{{{C}_{0}}}+2\frac{{{C}_{2}}}{{{C}_{1}}}+3\frac{{{C}_{3}}}{{{C}_{2}}}+....+15\frac{{{C}_{15}}}{{{C}_{14}}}=\]

If \[{{C}_{0}},{{C}_{1}},\,{{C}_{2}}{{,}^{.}}.......,\,\,{{C}_{15}}\]

1.	If \[{{C}_{0}},{{C}_{1}},\,{{C}_{2}}{{,}^{.}}.......,\,\,{{C}_{15}}\] are binomial coefficients in \[{{(1+x)}^{15}}\], then\[\frac{{{C}_{1}}}{{{C}_{0}}}+2\frac{{{C}_{2}}}{{{C}_{1}}}+3\frac{{{C}_{3}}}{{{C}_{2}}}+....+15\frac{{{C}_{15}}}{{{C}_{14}}}=\]
A.	60
B.	120
C.	64
D.	124
Answer» C. 64

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If \[{{C}_{0}},{{C}_{1}},\,{{C}_{2}}{{,}^{.}}.......,\,\,{{C}_{15}}\] are binomial coefficients in \[{{(1+x)}^{15}}\], then\[\frac{{{C}_{1}}}{{{C}_{0}}}+2\frac{{{C}_{2}}}{{{C}_{1}}}+3\frac{{{C}_{3}}}{{{C}_{2}}}+....+15\frac{{{C}_{15}}}{{{C}_{14}}}=\]

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