JEE Math Practice Question
The coefficient of $${x^{301}}$$ in $${(1 + x)^{500}} + x{(1 + x)^{499}} + {x^2}{(1 + x)^{498}}\, + \,...\, + \,{x^{500}}$$ is :
- A.$${}^{500}{C_{300}}$$
- B.$${}^{501}{C_{200}}$$
- C.$${}^{500}{C_{301}}$$
- D.$${}^{501}{C_{302}}$$
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