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The coefficient of \({x}^{301}\) in \((1+x{)}^{500}+x(1+x{)}^{499}+{x}^{2}(1+x{)}^{498}+\ldots +{x}^{500}\) is: [JEE Mai…

Q1

The coefficient of \({x}^{301}\) in \((1+x{)}^{500}+x(1+x{)}^{499}+{x}^{2}(1+x{)}^{498}+\ldots +{x}^{500}\) is:

[JEE Main 2023, 30 Jan (Shift 1)]

a

\({}^{501}C_{302}\)

b

\({}^{500}C_{301}\)

c

\({}^{500}C_{300}\)

d

\({}^{501}C_{200}\)

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