A) \[^{100}{{C}_{47}}\]
B) \[^{100}{{C}_{53}}\]
C) \[{{-}^{100}}{{C}_{53}}\]
D) \[{{-}^{100}}{{C}_{100}}\]
Correct Answer: C
Solution :
[c] The given sigma is the expansion of \[[(x-3)+2]100=(x-1)100=(1-x)100\] Therefore, \[{{x}^{53}}\] will occur in \[{{T}_{54}}\]. \[{{T}_{54}}={{\,}^{100}}{{C}_{53}}{{(-x)}^{53}}\] Therefore, the coefficient is \[{{-}^{100}}{{C}_{53}}\]You need to login to perform this action.
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