The sum of the coefficients of in is:

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Solution

Q.
The sum of the coefficients of $x^{499} a n d x^{500}$ in ${(1 + x)}^{1000} + x {(1 + x)}^{999} + x^{2} {(1 + x)}^{998} + \dots + x^{1000}$ is: [2026]

1 ${}^{1002}C_{500}$

2 ${}^{1000}C_{501}$

3 ${}^{1001}C_{501}$

4 ${}^{1002}C_{501}$

Ans.
(1)

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