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Question and Answer

The coefficient of \( {x}^{52}\) in the expansion
\( \sum _{m=0}^{100}{100}_{{C}_{m}}{\left(x-3\right)}^{100-m}{.2}^{m}\)
is:
a.\(^{ 100}\)C\(_{47}\)
b.\(^{100}\)C\(_{48}\)
c.-\(^{100}\)C\(_{52}\)

Answer

b
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Solution

Solution for The coefficient of  {x}^{52} in the expansion sum _{m=0}^{100}{100}_{{C}_{m}}{left(x-3right)}^{100-m}{.2}^{m}is:a.^{ 100}C_{47}b.^{100}C_{48}c.-^{100}C_{52}
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