1.

The coefficient of \[{{x}^{100}}\] in the expansion of  \[\sum\limits_{j=0}^{200}{{{(1+x)}^{j}}}\] is  [UPSEAT 2004]

A. \[\left( \begin{align}   & 200 \\  & 100 \\ \end{align} \right)\]
B. \[\left( \begin{align}   & 201 \\  & 102 \\ \end{align} \right)\]
C. \[\left( \begin{align}   & 200 \\  & 101 \\ \end{align} \right)\]
D. \[\left( \begin{align}   & 201 \\  & 100 \\ \end{align} \right)\]
Answer» B. \[\left( \begin{align}   & 201 \\  & 102 \\ \end{align} \right)\]


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