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

The coefficient of \[{{x}^{53}}\] in the expansion \[\sum\limits_{m=0}

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

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