A) \[^{100}{{C}_{47}}\]
B) \[^{100}{{C}_{53}}\]
C) \[{{-}^{100}}{{C}_{53}}\]
D) \[{{-}^{100}}{{C}_{100}}\]
Correct Answer: C
Solution :
The given sigma is expansion of \[{{[(x-3)+2]}^{100}}={{(x-1)}^{100}}={{(1-x)}^{100}}\]. \ \[{{x}^{53}}\]will occur in \[{{T}_{54}}\]. \[{{T}_{54}}={{\,}^{100}}{{C}_{53}}{{(-x)}^{53}}\] \ Coefficient is - 100C53.You need to login to perform this action.
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