1.

The coefficient of \[{{x}^{53}}\] in the following expansion  \[\sum\limits_{m=0}^{100}{{{\,}^{100}}{{C}_{m}}{{(x-3)}^{100-m}}}{{.2}^{m}}\]is

A. \[^{100}{{C}_{47}}\]
B. \[^{100}{{C}_{53}}\]
C. \[{{-}^{100}}{{C}_{53}}\]
D. \[{{-}^{100}}{{C}_{100}}\]
Answer» D. \[{{-}^{100}}{{C}_{100}}\]


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