Mathematics
The coefficientof \(x^{101}\) in the expression
\((5 + x)^{500} + x(5 + x)^{499} + x^{2}(5 + x)^{498} + \ldots + x^{500},x > 0\)
is\\
A
\(\ ^{501}C_{101}(5)^{399}\)
B
\(\ ^{501}C_{101}(5)^{400}\)
C
\(\ ^{501}C_{100}(5)^{400}\)
D
\(\ ^{500}C_{101}(5)^{399}\)
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