The sum of the coefficients of \({x}^{499}\) and \({x}^{500}\) in \({\left(1+x\right)}^{1000}+x{\left(1+x\right)}^{999}+…
Q1
The sum of the coefficients of \({x}^{499}\) and \({x}^{500}\) in \({\left(1+x\right)}^{1000}+x{\left(1+x\right)}^{999}+{x}^{2}{\left(1+x\right)}^{998}+...+{x}^{1000}\) is:
[JEE Main 2026, 28 Jan (Shift 2)]
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